Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Existence result of solutions for a class of nonlinear differential systems110500610.22075/ijnaa.2020.17236.1918ENSalimMesbahiDepartment of Mathematics, Faculty of Science, Ferhat Abbas University, Setif, AlgeriaJournal Article20190218In this paper, we will discuss the existence of bounded positive solutions for a class of nonlinear differential systems. The objective will be achieved by applying some results and techniques of functional analysis such as Schauder's fixed point theorem and potential theory tools.https://ijnaa.semnan.ac.ir/article_5006_29f4a6fe3316ba8010b3e9eae806fd2f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials1124500710.22075/ijnaa.2019.13154.1680ENZeinabTaheri TariDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi UniversityShahnamJavadiDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi UniversityEsmailBabolianDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi UniversityJournal Article20171120The purpose of this paper is to propose the spectral collocation method to solve linear and nonlinear stochastic It^o-Volterra integral equations (SVIEs). The proposed approach is different from other numerical techniques as we consider the Legendre Gauss type quadrature for estimating It^o integrals. The main characteristic of the presented method is that it reduces SVIEs into a system of algebraic equations. Thus, we can solve the problem by Newton's method. Furthermore, the convergence analysis of the approach is established. The method is computationally attractive, and to reveal the accuracy, validity, and efficiency of the proposed method, some numerical examples and convergence analysis are included.https://ijnaa.semnan.ac.ir/article_5007_d3bb8f377a3a138fc9f20fa3ce9554fa.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Mittag-Leffler-Hyers-Ulam stability of Prabhakar fractional integral equation2533500810.22075/ijnaa.2020.20274.2140ENNasrinEghbaliDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, IranAramMoharramniaDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, IranJohnRassiasPedagogical Department of Mathematics, The National and Kapodistrian University
of Athens, 4, Agamemnonos Str, Aghia Paraskevi, Attikis 15342, Greece.Journal Article20200425In this paper, we define and investigate Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of Prabhakar fractional integral equation.https://ijnaa.semnan.ac.ir/article_5008_13be82a3a1556ef40eaeab64b2cbac7d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Fixed point results in partially ordered partial $b_{v}(s)$-metric spaces3552501010.22075/ijnaa.2020.21085.2230ENEbruAltiparmakErzurum Technical University -Faculty of Science- Department of Mathematic
Erzurum/TURKEY0000-0001-6722-0807IbrahimKarahanErzurum Technical University- Faculty of Science-Department of Mathematic Erzurum/TURKEYJournal Article20200811In this paper, some fixed point results for generalized Geraghty type $α$-admissible contractive mappings and rational type generalized Geraghty contraction mappings are given in partially ordered partial $b_{v}(s)$-metric spaces. Also, a modified version of a partial $b_{v}(s)$-metric space is defined and a fixed point theorem is proved in this space. Finally, some examples are given related to the results.https://ijnaa.semnan.ac.ir/article_5010_3ee35e45a10c9dd3363d5e5d66266d38.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Estimate survival function of the Topp-Leone exponential distribution with application5360501410.22075/ijnaa.2021.5014ENHind JawadKadhim AlBderiCollege of Administration and Economics, University of Al-Qadisiyah, IraqJournal Article20210418This is a new lifetime Exponential "distribution using the Topp-Leone generated family of distributions proposed by Rezaei et al. The new distribution is called the Topp-Leone Exponential (TLE) distribution". What is done in this paper is an estimation of the "unlabeled two parameters for Topp-Leone Exponential distribution model by using the maximum likelihood estimator method to get the derivation of the point estimators for all unlabeled parameters according to iterative techniques as Newton $-$ Raphson method, then to derive Ordinary least squares estimator method". "Applying all two methods to estimate related probability functions; death density function, cumulative distribution function, survival function and hazard function (rate function)". When examining the numerical results for probability survival function by employing mean squares error measure and mean absolute percentage measure, this may lead to work on the best method in modeling a set of real data.https://ijnaa.semnan.ac.ir/article_5014_a5d924b34c9e30341cf35b3737e26e0e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701New subclasses of meromorphic bi-univalent functions by associated with subordinate6174501710.22075/ijnaa.2020.17405.1933ENSafaSalehianDepartment of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, IranAhmadMotamednezhadFaculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-36155,
Shahrood, IranJournal Article20190309In the present paper, we define two subclasses $Sigma(lambda, alpha, beta)$, $Sigma_{mathcal C}(alpha, beta)$ of meromorphic univalent functions and subclass $Sigma_{{mathcal B},{mathcal C}}(alpha, beta, lambda)$ of meromorphic bi-univalent functions. Furthermore, we obtain estimates on the general coefficients $|b_n|~(n ge1)$ for functions in the subclasses $Sigma(lambda, alpha, beta)$, $Sigma_{mathcal C}(alpha, beta)$ and estimates for the early coefficients of functions in subclass $Sigma_{{mathcal B},{mathcal C}}(alpha, beta, lambda)$ by associated subordination. The results obtained in this paper would generalize and improve those in related works of several earlier authors.https://ijnaa.semnan.ac.ir/article_5017_7cf5a3eaf20c4092d256fe3bcec9139d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Expected mean square rate estimation of repeated measurements model7583501810.22075/ijnaa.2021.5018ENHayder AbboodKoriDepartment of Economics, College of Administration and Economics, Thi-Qar University, Thi-Qar, Iraq0000-0002-8668-2908Abdulhussein SaberAL-MouelDepartment of mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq.Journal Article20210419In this paper, we obtained the estimation corresponding to the expected mean square rate of repeated<br /> measurement model depend on maximum likelihood method (MLM), restricted maximum likelihood<br /> method (REMLM) and modied restricted maximum likelihood method (MREMLM), and got eight <br /> cases that were classified into three types.https://ijnaa.semnan.ac.ir/article_5018_38cb6c717787e008d6de9592b49129f0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701On the Cauchy dual and complex symmetric of composition operators8597502010.22075/ijnaa.2020.20826.2203ENMortezaSohrabiJournal Article20200706In this paper, firstly we show that some classical properties for Cauchy dual and Moore-Penrose inverse of composition operators, such as complex symmetric and Aluthge transform on $L^{2}(Sigma)$. Secondly we give a characterization for some operator classes of weak $p$-hyponormal via Moore-Penrose inverse of composition operators. Finally, some examples are then presented to illustrate that, the Moore-Penrose inverse of composition operators lie between these classes.https://ijnaa.semnan.ac.ir/article_5020_4ad915d56e56743f3d20e5c74d2cf5a0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701On the $Psi$-instability of a nonlinear Lyapunov matrix differential equation with integral term as right side99113502110.22075/ijnaa.2019.17448.1936ENAurelDiamandescuDepartment of Applied Mathematics, University of Craiova, Craiova, RomaniaJournal Article20190313The aim of this paper is to give sufficient conditions for $Psi$-instability of trivial solution of a nonlinear Lyapunov matrix differential equation with integral term as right side.https://ijnaa.semnan.ac.ir/article_5021_0eddc76f6702bc34738027fa4c888e1e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701A new method for solving three-dimensional nonlinear Fredholm integral equations by Haar wavelet115133502210.22075/ijnaa.2020.20860.2207ENManochehrKazemiDepartment of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran0000-0001-8392-6690ValiTorkashvandFaculty of Basic Science, Hamedan Branch IAU, Hamedan, Iran.0000-0001-8033-8279RezaEzzatiDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranJournal Article20200712In this paper, a new iterative method of successive approximations based on Haar wavelets is proposed for solving three-dimensional nonlinear Fredholm integral equations. The convergence of the method is veriﬁed. The error estimation and numerical stability of the proposed method are provided in terms of Lipschitz condition. Conducting numerical experiments conﬁrm the theoretical results of the proposed method and endorse the accuracy of the method.https://ijnaa.semnan.ac.ir/article_5022_38df6ed969eb0473a1bf5792ef8657d4.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Predicting drug-target interaction based on bilateral local models using a decision tree-based hybrid support vector machine135144502310.22075/ijnaa.2021.5023ENAliGhanbari SorkhiFaculty of Electrical and Computer Engineering, University of Science and Technology of
Mazandaran, Behshahr, IranMajidIranpour MobarakehDepartment of Computer Engineering and IT, Payam Noor University, Tehran, IranSeyed Mohammad RezaHashemiYoung Researchers and Elite Club Qazvin Branch Islamic Azad University, Qazvin, IranMaryamFaridpourDepartment of Electrical and Computer Engineering, Mahdishahr Branch, Islamic Azad University, Mahdishahr, IranJournal Article20210420https://ijnaa.semnan.ac.ir/article_5023_ee31e29ad07264aafe7c88ca8336f636.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Predicting with the quantify intensities of transcription factor-target genes binding using random forest technique145161502610.22075/ijnaa.2021.5026ENAmeer K.AL-MashanjiUniversity of Babylon, Hilla, IraqSura Z.AL-RashidUniversity of Babylon, Hilla, IraqJournal Article20210421With the rapid development of technology, this development led to the emergence of microarray<br /> technology. It has the effect of studying the levels of gene expression in a way that makes it easier<br /> for researchers to observe the expression levels of millions of genes at the same time in a single experiment. Development also helped in the emergence of powerful tools to identify interactions between target genes and regulatory factors. The main aim of this study is to build models to predicate the relationship (Interaction) between Transcription Factors (TFs) proteins and target genes by selecting the subset of important genes (Relevant genes) from original dataset. The proposed methodology comprises into three major stages: the genes selection, merge datasets and the prediction stage. The process of reducing the computational space of gene data has been accomplished by using proposed mutual information method for genes selection based on the data of gene expression. In the prediction, the proposed prediction regression techniques are utilized to predict with binding rate between single TF-target gene. It has been compared the efficiency of two different proposed regression techniques including: Linear Regression and Random Forest Regression. Two available data sets have been utilized to achieve the objectives of this study: Gene’s expression data of Yeast Cell Cycle dataset and Transcription Factors dataset. The evaluation of predictions performance has been performed depending on two performance prediction measures (Root Mean Square Error (RMSE) and Mean Absolute Error (MAE) with (10) Folds-Cross Validation.https://ijnaa.semnan.ac.ir/article_5026_e3d788947cfc90a278456e366d83d9e2.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701On the spectrum and fine spectrum of an upper triangular double-band matrix on sequence spaces163171502710.22075/ijnaa.2019.17764.1961ENSinanErcanDepartment of Mathematics, Faculty of Sciences, Fırat University, Elazıvg, Turkey0000-0001-9871-2142Journal Article20190507In this paper, we investigate the spectrum and fine spectrum of the upper triangular double-band matrix $Delta ^{uv}$ on $cs$ sequence space. We also determine the approximate point spectrum, the defect spectrum and the compression spectrum of this matrix on $cs$.https://ijnaa.semnan.ac.ir/article_5027_959b4546f6042a2acd485258899cbf06.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Dislocated quasi rectangular $b$-metric spaces and fixed point theorems of cyclic and weakly cyclic contractions173191502810.22075/ijnaa.2020.18584.2023ENPradip GunvantGolhareDepartment of Mathematics, ant Dnyaneshwar Mahavidyalaya, Soegaon, Aurangabad, IndiaChintamanAageSchool of Mathematical Sciences,
North Maharashtra University JalgaonJournal Article20190904In this paper we have established fixed point theorems for $dq$-rectangular $b$-cyclic-Banach and $dq$-rectangular $b$-cyclic-Kannan contraction mappings in dislocated quasi rectangular $b$-metric spaces. We have also presented examples to support some of our results.https://ijnaa.semnan.ac.ir/article_5028_c47efbd8d9d2140b71fee58ec9b14fe9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Variation of the first eigenvalue of $(p,q)$-Laplacian along the Ricci-harmonic flow193204502910.22075/ijnaa.2020.18333.2003ENShahroudAzamiDepartment of Pure Mathematics, Faculty of Sciences,
Imam Khomeini International University, Qazvin, Iran.Journal Article20190722In this paper, we study monotonicity for the first eigenvalue of a class of $(p,q)$-Laplacian. We find the first variation formula for the first eigenvalue of $(p,q)$-Laplacian on a closed Riemannian manifold evolving by the Ricci-harmonic flow and construct various monotonic quantities by imposing some conditions on initial manifold.https://ijnaa.semnan.ac.ir/article_5029_6e3e49fa0b29712e958b9916afa46260.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Existence of solutions for a quasilinear elliptic system with variable exponent205217503010.22075/ijnaa.2019.18418.2011ENElhoussineAzroulDepartement of Mathematics Faculte of Sciences Sidi Mohamed Ben Abdellah University Dhar Mehraz Fez MoroccoFarahBalaadichUniversity of Sidi Mohamed Ben Abdellah Faculty of Sciences Dhar El MehrazJournal Article20190802We consider the following quasilinear elliptic system in a Sobolev space with variable exponent:<br /> [-text{div}(a(|Du|)Du)=f,]<br /> where $a$ is a $C^1$-function and $fin W^{-1,p'(x)}(Omega;R^m)$. We use the theory of Young measures and weak monotonicity conditions to obtain the existence of solutions.https://ijnaa.semnan.ac.ir/article_5030_a0df1ef3c7a7e6c14b527c75c6cb236e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Dhage iteration principle for IVPs of nonlinear first order impulsive differential equations219235503110.22075/ijnaa.2019.17188.1913ENBapurao C.DhageKasubai, Gurukul Colony, Thodga Road, Ahmedpur-413 515, Dist: Latur, Maharashtra, IndiJanhavi B.DhageKasubai, Gurukul Colony, Thodga Road, Ahmedpur-413 515, Dist: Latur, Maharashtra, IndiJournal Article20190210In this paper we prove the existence and approximation theorems for the initial value problems of first order nonlinear impulsive differential equations under certain mixed partial Lipschitz and partial compactness type conditions. Our results are based on the Dhage monotone iteration principle embodied in a hybrid fixed point theorem of Dhage involving the sum of two monotone order preserving operators in a partially ordered Banach space. The novelty of the present approach lies the fact that we obtain an algorithm for the solution. Our abstract main result is also illustrated by indicating a numerical example.https://ijnaa.semnan.ac.ir/article_5031_32631afebc2300c859e28a09d1ddcbf4.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Newton-Taylor polynomial solutions of systems of nonlinear differential equations with variable coefficients237248503210.22075/ijnaa.2020.18371.2007ENBahmanBabayar-RazlighiDepartment of Mathematics, Faculty of science, Qom University of Technology, Qom, Iran0000000250359367Journal Article20190725The main purpose of this paper is consider Newton-Taylor polynomial solutions method in numerical solution of nonlinear system of differential equations. We apply Newton's method to linearize it. We found Taylor polynomial solution of the linear form. Sufficient conditions for convergence of the numerical method are given and their applicability is illustrated with some examples.In numerical examples we give two benchmark sample problems and compare the proposed method by the famous Runge-Kutta fourth-order method. These sample problems practically show some advantages of the Newton-Taylor polynomial solutions method.https://ijnaa.semnan.ac.ir/article_5032_f5b59200ab477d70af488b33ac615714.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Optimal pricing policy for stock dependent demand with effective investment in preservation technology249264503310.22075/ijnaa.2020.17515.1943ENRam KumarTiwariDepartment of Mathematics and Statistics, Dr. Harisingh Gour Vishwavidyalaya, Sagar M.P. India (A Central University)0000000266045733Nishant KumarKhedlekarDepartment Management Studies(DOM), Indian Institute of Technology(IIT), Madras, IndiaUttam KumarKhedlekarDepartment of Mathematics and Statistics, Dr. Harisingh Gour Vishwavidyalaya, Sagar M.P. India (A Central University)0000-0002-3599-5576Journal Article20190330In this paper, we suggested an optimal pricing policy for deteriorating items. To reduce the rate of deterioration, we apply a preservation technology and calculate the optimal preservation technology investment. The demand function is dependent on time, stock and selling price. Shortages are allowed in our consideration, and two cases are studied, first complete back-ordering and the second one is partially back-ordering. Our main objective is to find the optimal cycle length, ordering frequency the optimal preservation technology investment and the optimal selling price that maximizes the total profit. This model proves that the total profit is a concave function of the selling price, ordering frequency, preservation technology investment and time cycle. Numerical examples are provided to illustrate the features and advances of the model. A sensitivity analysis is performed in order to assess the stability of the proposed model.https://ijnaa.semnan.ac.ir/article_5033_081770b0777ab992c54b6d0681cba0ae.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Stability of (1,2)-total pitchfork domination265274503510.22075/ijnaa.2021.5035ENLamees K.AlzakiDepartment of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqMohammed A.AbdlhuseinDepartment of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqAmenah KareemYousifDepartment of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqJournal Article20210425Let $G=(V, E)$ be a finite, simple, and undirected graph without isolated vertex. We define a dominating $D$ of $V(G)$ as a total pitchfork dominating set, if $1leq|N(t)cap V-D|leq2$ for every $t in D$ such that $G[D]$ has no isolated vertex. In this paper, the effects of adding or removing an edge and removing a vertex from a graph are studied on the order of minimum total pitchfork dominating set $gamma_{pf}^{t} (G)$ and the order of minimum inverse total pitchfork dominating set $gamma_{pf}^{-t} (G)$. Where $gamma_{pf}^{t} (G)$ is proved here to be increasing by adding an edge and decreasing by removing an edge, which are impossible cases in the ordinary total domination number.https://ijnaa.semnan.ac.ir/article_5035_a227738d435bd17fe9e9404e2593a4fe.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Projection and multi-projection methods for second kind Volterra-Hammerstein integral equation275291503910.22075/ijnaa.2020.18624.2026ENMoumitaMandalAssistant Professor,
Department of Mathematics,
Indian Institute of Technology Jodhpur,
Rajasthan-342037,
India.KapilKantDepartment of Mathematics
Indian Institute of Technology Kharagpur, Kharagpur - 721 302, IndiaGnaneshwarNelakantiDepartment of Mathematics
Indian Institute of Technology Kharagpur, Kharagpur - 721 302, IndiaJournal Article20190908In this article, we discuss the piecewise polynomial based Galerkin method to approximate the solutions of second kind Volterra-Hammerstein integral equations. We discuss the convergence of the approximate solutions to the exact solutions and obtain the orders of convergence $mathcal O(h^{r})$ and $mathcal O(h^{2r}),$ respectively, for Galerkin and its iterated Galerkin methods in uniform norm, where $h, ~r$ denotes the norm of the partition and smoothness of the kernel, respectively. We also obtain the superconvergence results for multi-Galerkin and iterated multi-Galerkin methods. We show that iterated multi-Galerkin method has the order of convergence $mathcal O(h^{3r})$ in the uniform norm. Numerical results are provided to demonstrate the theoretical results.https://ijnaa.semnan.ac.ir/article_5039_941ca03a7b799e9881022c92340f39e6.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701A common fixed point theorem via measure of noncompactness293296231810.22075/ijnaa.2017.10595.1513ENAlirezaValipour BaboliDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran0000-0002-5779-7183Mohammad BagherGhaemiDepartment of Mathematics, Iran University of Science and Technology, Tehran, IranJournal Article20160414In this paper by applying the measure of noncompactness a common fixed point for the maps $T$ and $S$ is obtained, where $T$ and $S$ are self maps continuous or commuting continuous on a closed convex subset $C$ of a Banach space $E$ and also $S$ is a linear map.https://ijnaa.semnan.ac.ir/article_2318_fcb87c6985acaa8cbb2d91eeb2b9afd2.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Fixed points for Banach and Kannan contractions in $G$-metric spaces endowed with a graph297304367810.22075/ijnaa.2019.3678ENNahid SadatMohseniFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.HashemP. MasihaK. N. Toosi University of TechnologyHamidMamghaderiK. N. Toosi University of TechnologyJournal Article20190312In this paper, we discuss the existence of fixed points for Banach and Kannan contractions defined on $G$-metric spaces, which were introduced by Mustafa and Sims, endowed with a graph. Our results generalize and unify some recent results by Jachymski, Bojor and Mustafa and those contained therein. Moreover, we provide some examples to show that our results are substantial improvement of some known results in literature.https://ijnaa.semnan.ac.ir/article_3678_688f70778c77be07186393fd74b6b5f0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Bifurcation and chaos in a one mass discrete time vocal fold dynamical model305315504210.22075/ijnaa.2020.19373.2074ENMehdiFatehi NiaDepartment of Mathematics, Yazd University, Yazd, IranMohamad HosseinAkramiDepartment of Mathematics, Yazd University, Yazd, Iran.Journal Article20191224In this article, we are going to study the stability and bifurcation of a two-dimensional discrete time vocal fold model. The existence and local stability of the unique fixed point of the model is investigated. It is shown that a Neimark-Sacker bifurcation occurs and an invariant circle will appear. We give sufficient conditions for this system to be chaotic in the sense of Marotto. Numerically it is shown that our model has positive Lyapunov exponent and is sensitive dependence on initial conditions. Some numerical simulations are presented to illustrate our theoretical results.https://ijnaa.semnan.ac.ir/article_5042_4cd6996654256ecdd54a309885bf3fa9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Hyers-Ulam types stability of nonlinear summation equations with delay317326504310.22075/ijnaa.2019.18218.1995ENUsmanRiazDepartment of Mathematics, University of Peshawar, 25000, Pakistan0000-0002-0231-8704AkbarZadaDepartment of Mathematics, University of Peshawar, 25000, PakistanJournal Article20190708In this typescript, we study the existence and uniqueness for a class of nonlinear summation equation with delay. Furthermore, we present Hyers–Ulam stability(HUS), generalized Hyers–Ulam stability(GHUS), Hyers–Ulam–Rassias stability(HURS) and generalized Hyers–Ulam–Rassias stability(GHURS) of the mentioned equation by utilizing discrete Gr¨onwall lemma. We finalized our manuscript through examples to help our primary outcomes.https://ijnaa.semnan.ac.ir/article_5043_41c06f246b6942b97f2b75ccdf990b51.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701A Simple proof for the algorithms of relaxed $(u, v)$-cocoercive mappings and $alpha$-inverse strongly monotone mappings327333504410.22075/ijnaa.2019.18336.2004ENEbrahimSooriDepartment of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, IranRaviAgarwalDepartment of Mathematics
Texas and University-Kingsville
700 University Blvd., MSC 172
Kingsville, Texas 78363-8202, USADonalOReganSchool of Mathematics, Statistics, National University of Ireland, Galway, IrelandJournal Article20190722In this paper, a simple proof is presented for the Convergence of the algorithms for the class of relaxed $(u, v)$-cocoercive mappings and $alpha$-inverse strongly monotone mappings. Based on $alpha$-expansive maps, for example, a simple proof of the convergence of the recent iterative algorithms by relaxed $(u, v)$-cocoercive mappings due to Kumam-Jaiboon is provided. Also a simple proof for the convergence of the iterative algorithms by inverse-strongly monotone mappings due to Iiduka-Takahashi in a special case is provided. These results are an improvement as well as a refinement of previously known results.https://ijnaa.semnan.ac.ir/article_5044_f4192721468b6f7afb1859cfbdcef600.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Convergence theorems of a new multiparametric family of Newton-like method in Banach space335362504610.22075/ijnaa.2020.17555.1948ENP KPARIDADepartment of Mathematics, Central University of Jharkhand, Ranchi-835205, IndiaChandniKumariDepartment of Mathematics, Central University of Jharkhand, Ranchi-835205, IndiaJournal Article20190409In this work, we have considered a new multi-parametric family of modified Newton-like methods(MNL) of order three to approximate a zero of a nonlinear operator in $mathbb{B}$-space (Banach space). Here, we studied the semilocal convergence analysis of this family of methods by using a new type of majorant condition. Note that this majorant condition generalizes the earlier majorant conditions used for studying convergence analysis of third order methods. Moreover, by using second-order directional derivative of the majorizing function we obtained an error estimate. We also established relations between our majorant condition and assumption based on Kantorovich, Smale-type and Nesterov-Nemirovskii-type, that will show our result generalize these earlier convergence results.https://ijnaa.semnan.ac.ir/article_5046_8351ad1f42c41b2b87ad5318ea4cde1f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Several integral inequalities and their applications on means363374504710.22075/ijnaa.2021.23169.2486ENGholamrezaZabandanDepartment of Mathematics, Kharazmi University, Tehran, Iran.0000 0002 0282 6362Journal Article20210416In this paper we prove several sharp inequalities that are new versions and extensions of Jensen and $H-H$ inequalities. Then we apply them on means.https://ijnaa.semnan.ac.ir/article_5047_ba8e81e6be2dcde3ca0d69c6c3ddf554.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Almost $alpha$-$F$-contraction, fixed points and applications375386504810.22075/ijnaa.2021.21717.2290ENDeepakKumarDepartment of Mathematics, Lovely Professional University, Phagwara, Punjab-144411, IndiaAnitaTomarDepartment of Mathematics, Government Degree College Thatyur, Tehri Garhwal(Uttrakhand), India0000-0001-8033-856XSumitChandokSchool of Mathematics, Thapar Institute of Engineering \& Technology, Patiala-147004, Punjab, IndiaSharmaRituDepartment of Mathematics, G. I. C. Gheradhar (Dogi) Tehri Garhwal (Uttrakhand), IndiaJournal Article20201102In this manuscript, we initiate an almost $alpha$-$F$-contraction and an almost $alpha$-$F$- weak contraction in the setting of partial metric spaces and establish adequate conditions for the presence of fixed points. The obtained results generalize the classical and recent results of the literature, which are validated by suitable examples. As applications of these established results, we solve a nonlinear fractional differential equation and a boundary value problem.https://ijnaa.semnan.ac.ir/article_5048_0329cd76b0fd9e6bfdefd3990a6aab7d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Sequential bipolar metric space and well-posedness of fixed point problems387398504910.22075/ijnaa.2020.20397.2150ENKushalRoyDepartment of Mathematics, The University of Burdwan, Purba Bardhaman-713104, West Bengal, IndiaMantuSahaDepartment of Mathematics, The University of Burdwan, Purba Bardhaman-713104, West Bengal, IndiaJournal Article20200513In this paper, we introduce the concept of sequential bipolar metric spaces which is a generalization of bipolar metric spaces and bipolar b−metric spaces and in view of this concept we prove some ﬁxed point theorems for a class of covariant and contravariant contractive mappings over such spaces. Supporting example have been cited in order to validity of the underlying space. Moreover, our ﬁxed point results are applied to well-posedness of ﬁxed point problems.https://ijnaa.semnan.ac.ir/article_5049_0cdff4555b590a6430320e3f801372fd.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701A nonunique common fixed point theorem of Rhoades type in b-metric spaces with applications399413505010.22075/ijnaa.2021.22279.2344ENTaiebHamaiziaSystem Dynamics and Control Laboratory , Department of mathematics and informatics, OEB University, AlgeriaAbdelkrimAlioucheSystem Dynamics and Control Laboratory , Department of mathematics and informatics, OEB University, AlgerianullJournal Article20210101The aim of this paper is to prove a nonunique common fixed point theorem of Rhoades type for two self-mappings in complete b-metric spaces. This theorem extends the results of [17] and [49]. Examples are furnished to illustrate the validity of our results. We apply our theorem to establish the existence of common solutions of a system of two nonlinear integral equations and a system of two functional equations arising in dynamic programming.https://ijnaa.semnan.ac.ir/article_5050_b5740577d9c5b3c3d44743dd1d198346.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Feeble regular and feeble normal spaces in $alpha$-topological spaces using graph415423505110.22075/ijnaa.2021.5051ENBalqees K.MahmoudDepartment of Mathematics, College of Education for Pure Sciences
(Ibn Al-Haitham), University of Baghdad, IraqYousif Y.YousifDepartment of Mathematics, College of Education for Pure Sciences (Ibn Al-Haitham), University of Baghdad, IraqJournal Article20210430This paper introduces some properties of separation axioms called $alpha$ -feeble regular and $alpha$ -feeble normal spaces (which are weaker than the usual axioms) by using elements of graph which are the essential parts of our $alpha$ -topological spaces that we study them. Also, it presents some dependent concepts and studies their properties and some relationships between them.https://ijnaa.semnan.ac.ir/article_5051_9627a38c823211c6800abe1f20e9854e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Inequalities for $tgs$-convex functions via some conformable fractional integrals425436506310.22075/ijnaa.2020.19752.2098ENNailaMehreenSchool of Natural Sciences, National University of Sciences and Technology, sector H-12, Islamabad, Pakistan.0000-0003-4101-6044MatloobAnwarSchool of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan.Journal Article20200208In this research article, we establish several Hermite-Hadamard type inequalities for tgs-convex functions via conformable fractional integrals and new fractional conformable integral operators.https://ijnaa.semnan.ac.ir/article_5063_c0e422f4460a62e917f1c7b011e294d3.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Existence of farthest points in Hilbert spaces437446507010.22075/ijnaa.2019.17319.1922ENHamidMazaheri TehraniFaculty of Mathematics, Yazd University, Yazd, IranRahamRahmani JafarbeigiFaculty of Mathematics , Yazd University , Yazd , IranJournal Article20190227Let $H$ be a real Hilbert space with the inner product $<.,.>$ and the norm $|cdot|$. In this paper, we introduce hybrid algorithms for generating cyclic, non-expansive mapping of H. Also, we discuss about necessary and sufficient conditions on subsets of Hilbert space to be remotal or uniquely remotal. Moreover, we give the basic concepts and theorems of farthest points of Bounded subsets of H. In the end, we will provide examples to illustrate our results.https://ijnaa.semnan.ac.ir/article_5070_13aaa9e9b60f179929915b33c16cac3b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701A Robust Encryption Technique Using Enhanced Vigenre Cipher447454507110.22075/ijnaa.2021.5071ENHazimNoman AbedComputer Science Department, College of Science, University of Diyala, Diyala, IraqZainabMohammed AliComputer Science Department, College of Science, University of Diyala, Diyala, IraqAhmedLuay AhmedSupervision and Scientific Education Apparatus, International Accreditation Department, Ministry of Higher Education, IraqJournal Article20210505A lot of data in this world are very important and no matter how simple it can be. Hence the number<br /> of data conveyed through the internet still increasing due to the rapid development of computer<br /> technology. In order to save the data over the internet, cryptography is a technique for conveying<br /> information securely between two parties without interference from outside elements. The Vigenre<br /> cipher is a technique of encrypting alphabetic text via using a sequence of different Caesar ciphers<br /> depend on the letters of a keyword. It is a simple form of polyalphabetic replacement. In this paper,<br /> the traditional way for the Vigenre method is enhanced by using two keys for text encryption. The<br /> first key is used to format the table of the alphabet (26 characters) and second keys are used to<br /> encrypt the plain text like the original Vigenre cipher. The result shows the proposed method is<br /> efficient and stronger against the kasiski and Friedman attack to find the length of the key.https://ijnaa.semnan.ac.ir/article_5071_7283a705c20580ae37d40cd59b76c968.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701The outbreak disease due to the contamination environment and effect on dynamical behavior of prey-predator model455470507210.22075/ijnaa.2021.5072ENMurtadha M.AbdulkadhimDepartment of Mathematics, College of Science, Baghdad University, Baghdad, IraqHassan FadhilAl-HusseinyDepartment of Mathematics, College of Science, Baghdad University, Baghdad, IraqJournal Article20210506In this study, a predator-prey model (PPMD) was formulated and studied along with infectious on
populations of prey and predator, since each one is splited into two sub-populations i.e., healthy and
infected. It is presumed that only healthy predator of ability to predate the healthy prey and consume
both healthy and prey being infected. Mathematically, the model solutions uniqueness, existence,
and boundedness are conversed. All probable equilibrium model points are defined. The stability
analyses as local and the regions of worldwide stability of each point of equilibriums are inspected.
Lastly, few simulations as numerical were offered for validation the geted results theoretically.https://ijnaa.semnan.ac.ir/article_5072_61ca95120dcb35c464285e8a83795973.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701On some maps into Banach algebras and Banach modules471477507310.22075/ijnaa.2021.21768.2295ENBahmanHayatiFaculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box 65719-95863, Malayer, Iran0000-0002-6283-3935Journal Article20201109In this paper, we study some maps from a $C^*$-algebra into a Banach algebra or a Banach module. Under some conditions, by extending on unitization of Banach algebras, we prove that the maps defined into Banach algebras are homomorphisms and the others defined into Banach modules are derivations. Applications of our results in the context of $C^*$-algebras are also provided.https://ijnaa.semnan.ac.ir/article_5073_175bde87616e39245bc7ba2dcab16c49.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Investigating 1-perfect code using Dominating set479483507410.22075/ijnaa.2019.18237.1997ENFatemehHalataeiFaculty of Mathematics, Statistics, and Computer Science, Semnan University, Semnan, IranSaeedMohammadianFaculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, IranJournal Article20190710In this article, we investigate the relation between dominating sets and 1-perfect codes. We also study perfect colorings of some Johnson graphs in two colors using linear programming problem.https://ijnaa.semnan.ac.ir/article_5074_66fca079247bfe308c49507e64888ebc.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Kalman filter and ridge regression backpropagation algorithms485493507510.22075/ijnaa.2021.5075ENIrtefaa A.NeamahFaculty of Computer Science and Mathematics, University of Kufa, IraqZainabAbdul RedhaaMinistry of Education, Najaf, IraqJournal Article20210508The Kalman filter (KF) compare with the ridge regression backpropagation algorithm (RRBp) by conducting a numerical simulation study that relied on generating random data applicable to the KF and the RRBp in different sample sizes to determine the performance and behavior of the two methods. After implementing the simulation, the mean square error (MSE) value was calculated, which is considered a performance measure, to find out which two methods are better in making an estimation for random data. After obtaining the results, we find that the Kalman filter has better performance, the higher the randomness and noise in generating the data, while the other algorithm is suitable for small sample sizes and where the noise ratios are lower.https://ijnaa.semnan.ac.ir/article_5075_3ff14149c20133148aeb5f697d9c66bc.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Linear maps and covariance sets495497507610.22075/ijnaa.2020.19469.2081ENMohammad HosseinAlizadehInstitute for Advanced Studies in Basic Sciences(IASBS)Journal Article20200105Let $mathcal{A}$ and $mathcal{B}$ are $C^{{huge ast}} $-algebrastextbf{.} Atextbf{ }linear map $phi:mathcal{Arightarrow B}$ is $C^{ast}$-Jordan homomorphism if it is a Jordan homomorphism which preserves the adjoint operation. In this note we show that $C^{ast}$-Jordan<br />homomorphisms -under mild assumptions- preserving covariance set and covariance coset in $C^{ast}$-algebras.https://ijnaa.semnan.ac.ir/article_5076_98d5de8f57e3e3c81f2b845a79bbc509.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701A graph associated to proper non-small subsemimodules of a semimodule499511509110.22075/ijnaa.2021.5091ENAhmed H.AlwanDepartment of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqJournal Article20210510Let M be a unitary left R-semimodule where R is a commutative semiring with identity. The <br /> small intersection graph G(M) of a semimodule M is an undirected simple graph with all non- <br /> small proper subsemimodules of M as vertices and two distinct vertices N and L are adjacent if <br /> and only if N ∩ L is not small in M. In this paper, we investigate the fundamental properties <br /> of these graphs to relate the combinatorial properties of G(M) to the algebraic properties of the <br /> R-semimodule M. Determine the diameter and the girth of G(M). Moreover, we study cut vertex, <br /> clique number, domination number and independence number of the graph G(M). It is shown that <br /> the independence number of small graph is equal to the number of its maximal subsemimodules.https://ijnaa.semnan.ac.ir/article_5091_43b9647b348856e839436a22d98bbaf1.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701Strong convergence theorems for minimization, variational inequality and fixed point problems for quasi-nonexpansive mappings using modified proximal point algorithms in real Hilbert spaces513528509310.22075/ijnaa.2019.18153.1991ENThiernoSowAmadou Mahtar Mbow University, SenegalJournal Article20190630In this paper, we investigate the problem of finding a common element of the solution set of convex minimization problem, the solution set of variational inequality problem and the solution set of fixed point problem with an infinite family of quasi-nonexpansive mappings in real Hilbert spaces. Based on the well-known proximal point algorithm and viscosity approximation method, we propose and analyze a new iterative algorithm for computing a common element. Under very mild assumptions, we obtain a strong convergence theorem for the sequence generated by the proposed method. Application to convex minimization and variational inequality problems coupled with inclusion problem is provided to support our main results.,Our proposed method is quite general and includes the iterative methods considered in the earlier and recent literature as special cases.https://ijnaa.semnan.ac.ir/article_5093_5ef945831965ddd353c13d6b1546a851.pdf