Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181201Numerical algorithm for discrete barrier option pricing in a Black-Scholes model with stationary process17349010.22075/ijnaa.2017.415.1060ENRahmanFarnooshSchool of Mathematics, Iran University of Science and Technology, 16844 Tehran, IranHamidrezaRezazadehDepartment of Mathematics, Islamic Azad University Karaj BranchAmirhosseinSobhaniSchool of Mathematics, Iran University of Science and Technology, 16844 Tehran, IranMasoudHasanpourDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, IranJournal Article20160612In this article, we propose a numerical algorithm for computing price of discrete single and double barrier option under the \emph{Black-Scholes} model. In virtue of some general transformations, the partial differential equations of option pricing in different monitoring dates are converted into simple diffusion equations. The present method is fast compared to alternative numerical methods presented in previous papers.https://ijnaa.semnan.ac.ir/article_3490_e9dc9637e7faed498b3c25279b93fb11.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181201Symmetric Rogers-Hölder's inequalities on diamond-$\alpha$ calculus919349110.22075/ijnaa.2018.11633.1579ENSajidIqbalDepartment of Mathematics,
University of Sargodha,
Sub-Campus Bhakkar, Bhakkar, PakistanMuhammadJibril Shahab SahirDepartment of Mathematics,
University of Sargodha,
Sub-Campus Bhakkar, Bhakkar, PakistanMuhammadSamraizDepartment of Mathematics, University of Sargodha, Sargodha,
PakistanJournal Article20170612We present symmetric Rogers-Hölder's inequalities on time scales when $\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=0$ and $\frac{r}{p}+\frac{r}{q}$ is not necessarily equal to $1$ where $p,$ $q$ and $r$ are nonzero real numbers.https://ijnaa.semnan.ac.ir/article_3491_99dcc0be916ae65dbe4e4d984b19863b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181201Nonlinear dynamic of the multicellular chopper2131349210.22075/ijnaa.2018.12625.1641ENDjondinPhilippeDepartment of Physics, Faculty of Science, The University of Ngaound'er'e, P.O. Box 454, Ngaound'er'e, CameroonJean-PierreBarbotECS-Lab, EA3649, ENSEA, Cergy Cedex, Cergy--Pontoise 95014, Laboratoire QUARTZ EA 7393, FranceJournal Article20170927In this paper, the dynamics of multicellular chopper are considered. The model is described by a continuous time three--dimensional autonomous system. Some basic dynamical properties such as Poincar\'e mapping, power spectrum and chaotic behaviors are studied. Analysis results show that this system has complex dynamics with some interesting characteristics.https://ijnaa.semnan.ac.ir/article_3492_56510194ff66e9a2f31ddc19c6a3b579.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181212An existence result for n^{th}-order nonlinear fractional differential equations3345349310.22075/ijnaa.2018.1496.1386ENAliBenlabbesFaculty of Sciences and Technology, Tahri Mohammed University, Bechar, AlgeriaMaamarBenbachirFaculty of Sciences and Technology, Djilali Bounaama University, Khemis-Miliana, Algeria0000-0003-3519-1153MustaphaLakribLaboratory of Mathematics, Djillali Liabes University, Sidi Bel Abbes, AlgeriaJournal Article20160708In this paper, we investigate the existence of solutions of some three-point boundary value problems for n-th order nonlinear fractional differential equations with higher boundary conditions by using a fixed point theorem on cones.https://ijnaa.semnan.ac.ir/article_3493_42f30dd586fe63bb05aaae937088de0f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181214Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method4757349410.22075/ijnaa.2017.1538.1402ENElyasShivanianDepartment of Applied Mathematics, Faculty of Basic Science, Imam Khomeini International University, Qazvin 34149-16818, IranSaeidAbbasbandyDepartment of Applied Mathematics, Faculty of Basic Science, Imam Khomeini International University, Qazvin 34149-16818, IranJournal Article20160805The recognition and the calculation of all branches of solutions of the nonlinear boundary value problems is difficult obviously. The complexity of this issue goes back to the being nonlinearity of the problem. Regarding this matter, this paper considers steady state reactive transport model which does not have exact closed-form solution and discovers existence of dual or triple solutions in some cases using a new hybrid method based on pseudo-spectral collocation in the sense of least square method. Furthermore, the method usages Picard iteration and Newton method to treat nonlinear term in order to obtain unique and multiple solutions of the problem, respectively.https://ijnaa.semnan.ac.ir/article_3494_4c905e7d18378893866322225fe54d53.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181214Coefficient bounds for a new class of univalent functions involving Salagean operator and the modified Sigmoid function5969349510.22075/ijnaa.2018.1589.1417ENOlubunmiFadipe-JosephDepartment of Mathematics, University of Ilorin, P.M.B 1515, Ilorin, NigeriaW.AdemosuDepartment of Mathematics,Statistics and Computer Sci., Federal University of Agriculture, P.M.B 2373, Makurdi, NigeriaG.MurugusundaramoorthyDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore-632 014, India0000-0001-8285-6619Journal Article20160909We define a new subclass of univalent function based on Salagean differential operator and obtained the initial Taylor coefficients using the techniques of Briot-Bouquet differential subordination in association with the modified sigmoid function. Further we obtain the classical Fekete-Szego inequality results.https://ijnaa.semnan.ac.ir/article_3495_185b784a98886e32bb1fbec5c5ab08ec.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181214Generalized multivalued $F$-contractions on non-complete metric spaces7184349610.22075/ijnaa.2018.1644.1432ENHamidBaghaniDepartment of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, IranJournal Article20161004In this paper, we explain a new generalized contractive condition for multivalued mappings and prove a fixed point theorem in metric spaces (not necessary complete) which extends some well-known results in the literature. Finally, as an application, we prove that a multivalued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresponding functional equation.https://ijnaa.semnan.ac.ir/article_3496_4b64c826687d159161940de7dcd0b715.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181214Fixed point theorems under weakly contractive conditions via auxiliary functions in ordered $G$-metric spaces85109350310.22075/ijnaa.2018.868.1157ENHemant KumarNashineDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, TN, India0000-0002-0250-9172AtulKumar SharmaDepartment of Mathematics, Lakhmi Chand Institute of Technology, Bilaspur-495001,(Chhattisgarh), IndiaJournal Article20150730We present some fixed point results for a single mapping and a pair of compatible mappings via auxiliary functions which satisfy a generalized weakly contractive condition in partially ordered complete $G$-metric spaces. Some examples are furnished to illustrate the useability of our main results. At the end, an application is presented to the study of existence and uniqueness of solutions for a boundary value problem for certain second order ODE and the respective integral equation.https://ijnaa.semnan.ac.ir/article_3503_49b512c18a4eb3d87910b9125ccef4dc.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181214A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras111116351010.22075/ijnaa.2018.3510ENZohreHeidarpourDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, IranEsmaeilAnsari-PiriFaculty of Mathematical Sciences, University of Guilan, Rasht, IranHamidShayanpourDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran0000-0002-6202-8143AliZohriDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran0000-0001-7829-5599Journal Article20170309We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps. We prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous. We also study the relationship between approximately multiplicative linear functionals and approximately n-multiplicative linear functionals.https://ijnaa.semnan.ac.ir/article_3510_7ba671699220e09a6a455a6e8874ad8b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181215Strict fixed points of \'{C}iri\'{c}-generalized weak quasicontractive multi-valued mappings of integral type117129351110.22075/ijnaa.2017.1312.1324ENBabakMohammadiDepartment of Mathematics, Marand Branch, Islamic Azad University, Marand, IranJournal Article20160406Many authors such as Amini-Harandi, Rezapour et al., Kadelburg et al., have tried to find at least one fixed point for quasi-contractions when $\alpha\in[\frac{1}{2}, 1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version. In this paper, we introduce some new strict fixed point results in the set of multi-valued \'{C}iri\'{c}-generalized weak quasi-contraction mappings of integral type. We consider a necessary and sufficient condition on such mappings which guarantees the existence of unique strict fixed point of such mappings. Our result is a partial positive answer for the mentioned problem which has remained open for many years. Also, we give an strict fixed point result of $\alpha$-$\psi$-quasicontractive multi-valued mappings of integral type. Our results generalize and improve many existing results on multi-valued mappings in literature. Moreover, some examples are presented to support our new class of multi-valued contractions.https://ijnaa.semnan.ac.ir/article_3511_e5747011237bd65360933a55ff42edcd.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181217An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel131143351210.22075/ijnaa.2018.11892.1596ENBichengYangDepartment of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. ChinaJournal Article20170710In this paper, by the use of the weight coefficients, the transfer formula and the technique of real analysis, an extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions and a few examples are considered.https://ijnaa.semnan.ac.ir/article_3512_74c207a1281ac51dea5d782dbbcc5f68.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181217Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations145159351410.22075/ijnaa.2018.12688.1647ENKishorKuccheDepartment of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, IndiaPallaviShikhareDepartment of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, IndiaJournal Article20171006In the present research paper we derive results about existence and uniqueness of solutions and Ulam-Hyers and Rassias stabilities of nonlinear Volterra-Fredholm delay integrodifferential equations. Pachpatte's inequality and Picard operator theory are the main tools that are used to obtain our main results. We concluded this work with applications of obtained results and few illustrative examples.https://ijnaa.semnan.ac.ir/article_3514_63fd6817160ec6464f7d75a15bd85c7f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181218Some notes on ``Common fixed point of two $R$-weakly commuting mappings in $b$-metric spaces"161167352210.22075/ijnaa.2018.3060.1495ENShaoyuanXuSchool of Mathematics and Statistics, Hanshan Normal University, Chaozhou, 521041, ChinaSuyuChengLibrary, Hanshan Normal University, Chaozhou, 521041, ChinaStojanRadenovićUniversity of Belgrade, Faculty of Mechanical Engineering, Beograd, SerbiaJournal Article20170120Very recently, Kuman et al. [P. Kumam, W. Sintunavarat, S. Sedghi, and N. Shobkolaei. Common Fixed Point of Two $R$-Weakly Commuting Mappings in $b$-Metric Spaces. Journal of Function Spaces, Volume 2015, Article ID 350840, 5 pages] obtained some interesting common fixed point results for two mappings satisfying generalized contractive condition in $b$-metric space without the assumption of the continuity of the $b$-metric, but unfortunately, there exists a gap in the proof of the main result. In this note, we point out and fill such gap by making some remarks and offering a new proof for the result. It should be mentioned that our proofs for some key assertions of the main result are new and somewhat different from the original ones. In addition, we also present a result to check the continuity of the $b$-metrics which is found effective and workable when applied to some examples.https://ijnaa.semnan.ac.ir/article_3522_827c9ac2f28ad1c61f6bf515685d7838.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181219Coupled fixed points of generalized Kanann contraction and its applications169178352310.22075/ijnaa.2017.12355.1628ENNaserGhafoori AdlDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranDavoodEbrahimi BaghaDepartment of Mathematics Faculty of Science Islamic Azad University Central Tehran BranchMohammad SadeghAsgariDepartment of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran0000-0002-0675-0262Journal Article20170830The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized <span>Kanann</span> type <span>contractivity</span> of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a mixed <span>$\leq$</span>-solution.https://ijnaa.semnan.ac.ir/article_3523_0f18082d7d6d237aaa0fc831ba4718d4.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181221Fixed Point Theorems For Weak Contractions in Dualistic Partial Metric Spaces179190352410.22075/ijnaa.2018.12908.1665ENMuhammadNazamDepartment of mathematics, International Islamic University, Islamabad, Pakistan0000-0002-1274-1936ArshadMuhammadDepartment of Mathematics and Statistics, International Islamic University, Islamabad PakistanJournal Article20171028In this paper, we describe some topological properties of dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dual partial metric spaces. These results are generalizations of some existing results in the literature. Moreover, we present examples to illustrate our result.https://ijnaa.semnan.ac.ir/article_3524_2a484f1a955c18b99c48065c0b450821.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181224On a $k$-extension of the Nielsen's $\beta$-Function191201352510.22075/ijnaa.2018.12972.1668ENKwaraNantomahDepartment of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, Ghana0000-0003-0911-9537Kottakkaran SooppyNisarDepartment of Mathematics, College of Arts and Science-Wadi Aldawaser, 11991,
Prince Sattam bin Abdulaziz University, Alkharj, Kingdom of Saudi ArabiaKuldeep SinghGehlotGovernment College Jodhpur, JNV University Jodhpur, Rajasthan, IndiaJournal Article20171104Motivated by the $k$-digamma function, we introduce a $k$-extension of the Nielsen's $\beta$-function, and further study some properties and inequalities of the new function.https://ijnaa.semnan.ac.ir/article_3525_262b738fee357c360fe1e5165b37d43a.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181225Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order203214352610.22075/ijnaa.2018.13630.1709ENFuatUstaDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, TurkeyHuseyinBudakDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey0000-0001-8843-955XMehmetSarikayaDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, TurkeyJournal Article20180107This study outlines the local fractional integro-differential equations carried out by the local fractional calculus. The analytical solutions within local fractional Volterra and Abel’s integral equations via the Yang-Laplace transform are discussed. Some illustrative examples will be discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems for the local fractional integral equations.https://ijnaa.semnan.ac.ir/article_3526_33ab662aac9af5fdeb7e6becf20ed364.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181226A new algorithm for computing SAGBI bases up to an arbitrary degree215221353010.22075/ijnaa.2017.1718.1640ENShahnazFakouriDepartment of Mathematics and Computer Sciences, Damghan University, Damghan, IranAbdolaliBasiriDepartment of Mathematics and Computer Sciences, Damghan University, Damghan, Iran0000-0003-4454-4379SajjadRahmaniDepartment of Mathematics and Computer Sciences, Damghan University, Damghan, IranJournal Article20170925We present a new algorithm for computing a <span>SAGBI</span> basis up to an arbitrary degree for a <span>subalgebra</span> generated by a set of homogeneous polynomials. Our idea is based on linear algebra methods which cause a low level of complexity and computational cost. We then use it to solve the membership problem in <span>subalgebras</span>.https://ijnaa.semnan.ac.ir/article_3530_27f14ecaa26f792a3f495500263a548b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181228Certain subclass of $p$-valent meromorphic Bazilevi\'{c} functions defined by fractional $q$-calculus operators223230353110.22075/ijnaa.2018.13163.1681ENAbdul RahmanJumaDepartment of Mathematics, University of Anbar, Ramadi, IraqMushtaqAbdulhussainDepartment of Mathematics, Mustansiriyah
University, IraqSabaAl-khafajiDepartment of Mathematics, University of Anbar, Ramadi, IraqJournal Article20171121The aim of the present paper is to introduce and investigate a new subclass of Bazilevic functions in the punctured unit disk $\mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the functions belonging to this class and for some of its subclasses.https://ijnaa.semnan.ac.ir/article_3531_02e40a41822e83d902f511a067178334.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181229A nonlinear multi objective model for the product portfolio optimization: An integer programming231239352810.22075/ijnaa.2018.13447.1695ENNahidDorostkar-AhmadiDepartment of industrial management, faculty of economy, management and official science, Semnan university, IranMohsenShafiei NikabadiIndustrial Management Department
Economics and Management Faculty
Semnan UniversityJournal Article20171219Optimization of the product portfolio has been recognized as a critical problem in industry, management, economy and so on. It aims at the selection of an optimal mix of the products to offer in the target market. As a probability function, reliability is an essential objective of the problem which linear models often fail to evaluate it. Here, we develop a multiobjective integer nonlinear constraint model for the problem. Our model provides opportunities to consider the knowledge transferring cost and the environmental effects, as nowadays important concerns of the world, in addition to the classical factors operational cost and reliability. Also, the model is designed in a way to simultaneously optimize the input materials and the products. Although being to some extent complicated, the model can be efficiently solved by the metaheuristic algorithms. Finally, we make some numerical experiments on a simulated test problem.https://ijnaa.semnan.ac.ir/article_3528_c56d3bfeaa4c68e6a9041801e356f6cf.pdf