Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Quadratic $\alpha$-functional equations19235110.22075/ijnaa.2017.1066.1218ENChoonkil ParkResearch nstitute for natural sciences,
Hanyang University Seoul 04763,
Korea0000-0001-6329-8228Sang Og KimDepartment of Mathematics
Hallym University
Chuncheon 24252
KoreaJournal Article20151218In this paper, we solve the quadratic $\alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + \alpha^{-2}f(\alpha(x-y)); (0.1)$ where $\alpha$ is a fixed non-Archimedean number with $\alpha^{-2}neq 3$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic $\alpha$-functional equation (0.1) in non-Archimedean Banach spaces.https://ijnaa.semnan.ac.ir/article_2351_0cc225d42285c772edd3782614976e89.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701The operators over the GIFS1121240210.22075/ijnaa.2017.11099.1542ENEzzatallah Baloui JamkhanehDepartment of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran0000-0002-4474-0225Journal Article20160222In this paper, newly defined level operators and modal-like operators over extensional generalized intuitionistic fuzzy sets (GIFSB) are proposed. Some of the basic properties of the new operators are discussed.https://ijnaa.semnan.ac.ir/article_2402_aa76bd23f45666bcc4956b21e9d4975a.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701On genuine Lupa\c{s}-Beta operators and modulus of continuity2332230710.22075/ijnaa.2017.10557.1508ENVijay GuptaNetaji Subhas Institute of Technology
New Delhi, IndiaTh.M. RassiasDepartment of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, GreeceEkta PandeyDepartment of Mathematics, IMS Engineering College Ghaziabad-201009, (UP), IndiaJournal Article20160414In the present article we discuss approximation properties of genuine Lupa\c{s}-Beta operators of integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention results on the weighted modulus of continuity for the genuine operators.https://ijnaa.semnan.ac.ir/article_2307_251220725692ce599b98103f8f8d9cb7.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Stability for certain subclasses of harmonic univalent functions3345240510.22075/ijnaa.2017.2405ENAli EbadianDepartment of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, IranSaman AziziDepartment of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, IranShahram NajafzadehDepartment of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, IranJournal Article20160112In this paper, the problem of stability for certain subclasses of harmonic univalent functions is investigated. Some lower bounds for the radius of stability of these subclasses are found.https://ijnaa.semnan.ac.ir/article_2405_54526c108d6aa80a97f3ae45556c5eb9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates476048310.22075/ijnaa.2016.483ENAli BaraniDepartment of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, IranFatemeh MalmirDepartment of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, IranJournal Article20150427In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.https://ijnaa.semnan.ac.ir/article_483_550a263fc24bc744472c0dbaf671d46c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Study on efficiency of the Adomian decomposition method for stochastic differential equations616848410.22075/ijnaa.2016.484ENKazem NouriDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran0000-0002-7922-5848Journal Article20150311Many time-varying phenomena of various fields in science and engineering can be modeled as a stochastic differential equations, so investigation of conditions for existence of solution and obtain the analytical and numerical solutions of them are important. In this paper, the Adomian decomposition method for solution of the stochastic differential equations are improved. Uniqueness and convergence of their adapted solutions are reviewed. The efficiency of the method is demonstrated through the two numerical experiments.https://ijnaa.semnan.ac.ir/article_484_4f610d5f55a6031e073c4611c3719299.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701A spline collocation method for integrating a class of chemical reactor equations6980249510.22075/ijnaa.2017.1653.1436ENAbdelmajid ElhajajiENCG El JadidaNadia BarjeLMC Laboratory, FST, University of Sultan Moulay Slimane, Beni-Mellal, MoroccoAbdelhafid SerghiniMATSI Laboratory, ESTO, University Mohammed Premier, Oujda, MoroccoKhalid HilalLMC Laboratory, FST, University of Sultan Moulay Slimane, Beni-Mellal, MoroccoEl Bekkaye MermriDepartment of Mathematics and Computer Science, FS, University Mohammed Premier, Oujda, MoroccoJournal Article20161010. In this paper, we develop a quadratic spline collocation method for integrating the nonlinear partial differential equations (PDEs) of a plug flow reactor model. The method is proposed in order to be used for the operation of control design and/or numerical simulations. We first present the Crank-Nicolson method to temporally discretize the state variable. Then, we develop and analyze the proposed spline collocation method for the spatial discretization. The design of the collocation method is interpreted as one order error convergent. This scheme is applied on some test examples, the numerical results illustrate the efficiency of the method and confirm the theoretical behavior of the rates of convergence.https://ijnaa.semnan.ac.ir/article_2495_adb58540af82056f951db7c7fef91870.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Uncertainty in linear fractional transportation problem819350410.22075/ijnaa.2016.504ENMohammad Reza SafiDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, IranSeyyed Mojtaba GhasemiDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, IranJournal Article20151228In this paper, we study the linear fractional transportation problem with uncertain arameters. After recalling some definitions, concepts and theorems in uncertainty theory we present three approaches for solving this problem. First we consider the expected value of the objective function together with the expectation of satisfying constraints. Optimizing the expected value of the objective function with considering chance constrained method for the restrictions is our second approach. In the third approach we add the objective function to the constraints and solve again the problem by chance constrained method. A numerical example is solved by three approaches and their solutions are compaired.https://ijnaa.semnan.ac.ir/article_504_5a23516c8827427da952623d3f103bcb.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations95112234910.22075/ijnaa.2017.997.1194ENBapurao DhageKasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, IndiaJournal Article20151113In this paper, author proves the algorithms for the existence as well as the approximation of solutions to a couple of periodic boundary value problems of nonlinear first order ordinary integro-differential equations using operator theoretic techniques in a partially ordered metric space. The main results rely on the Dhage iteration method embodied in the recent hybrid fixed point theorems of Dhage in a partially ordered normed linear space. The approximation of the solutions are obtained under weaker mixed partial continuity and partial Lipschitz conditions. Our hypotheses and abstract results are also illustrated by some numerical examples.https://ijnaa.semnan.ac.ir/article_2349_b7c0d94e0bbcfba713b9b9348f61bcb3.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701The James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces113122234810.22075/ijnaa.2017.2348ENMina DinarvandFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, IranJournal Article20150316Recently, Takahashi has introduced the James and von Neumann-Jordan type constants. In this paper, we present some sufficient conditions for uniform normal structure and therefore the fixed point property of a Banach space in terms of the James and von Neumann-Jordan type constants and the Ptolemy constant. Our main results of the paper significantly generalize and improve many known results in the recent literature.https://ijnaa.semnan.ac.ir/article_2348_fc7c782f405f0e55f30d9c0a19a1e90d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Convergence of trajectories in infinite horizon optimization123131249610.22075/ijnaa.2017.1326.1327ENSara HassaniFederation university of AustraliaMusa MammadovFederation university of AustraliaJournal Article20160414In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.https://ijnaa.semnan.ac.ir/article_2496_45dd23662834206d7ecfd588dc09e613.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Some results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces133157235010.22075/ijnaa.2017.1064.1215ENHamid ShayanpourFaculty of Mathematical Sciences, Department of Pure Mathematics,
University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran.0000-0002-6202-8143Asiyeh NematizadehFaculty of Mathematical Sciences, Department of Pure Mathematics, University
of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran.Journal Article20151217In this paper, we define the concept of probabilistic like Menger (probabilistic like quasi Menger) space (briefly, PLM-space (PLqM-space)). We present some coupled fixed point and fixed point results for certain contraction type maps in partially order PLM-spaces (PLqM- spaces).https://ijnaa.semnan.ac.ir/article_2350_7593b3a47ec39cd8354660d43a2a3a78.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701On the metric triangle inequality159164249710.22075/ijnaa.2017.1602.1418ENAlexandre Mihai BicaDepartment of Mathematics and Informatics, University of Oradea, Universitatii Street no. 1, 410087 Oradea, RomaniaJournal Article20160914A non-contradictible axiomatic theory is constructed under the local reversibility of the metric triangle inequality. The obtained notion includes the metric spaces as particular cases and the generated metric topology is T$_{1}$-separated and generally, non-Hausdorff.https://ijnaa.semnan.ac.ir/article_2497_ec86ad0629d277b3dfc9ff8de6b43e4b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Existence results for equilibrium problems under strong sign property165176249810.22075/ijnaa.2017.2498ENSomaye JafariDepartment of Mathematics, Razi University, KermanshahAli FarajzadehDepartment of Mathematics, Razi University, KermanshahJournal Article20150704This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion of upper sign property for bifunctions, we obtain the relationship between the solution sets of the local Minty equilibrium problem and the equilibrium problem, where the technical conditions on $f$ used in the literature are relaxed. The KKM technique is used to generalize and unify some existence results for the relaxed $\mu$-quasimonotone equilibrium problems in the literature.https://ijnaa.semnan.ac.ir/article_2498_1ac673c544179be70aa77273e99be930.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Unsteady free convection oscillatory couette flow through a variable porous medium with concentration profile177186249910.22075/ijnaa.2017.672.1107ENSurjan SinghDST-CIMS BHU VaranasiPawan Kumar SharmaAmity School Of Engineering And Technology, 580, Delhi Palam Vihar Road, Bijwasan, New Delhi 110061, IndiaKavindra Nath RaiIIT BHU, VaranasiNagendra Singh TomerGovernment College Hisar HaryanaJournal Article20150116In this paper we have studied the effect of free convection on the heat transfer and flow through variable porous medium which is bounded by two vertical parallel porous plates. In this study it is assume that free stream velocity oscillates with time about a constant mean. Periodic temperature is considered in the moving plate. Effect of different parameters on mean flow velocity, Transient velocity, Concentration profile and transient temperature studied in detail.https://ijnaa.semnan.ac.ir/article_2499_b3cd9cde6f5d728052f0bfa1991e4bcf.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Almost n-Multiplicative Maps between Frechet Algebras187195250010.22075/ijnaa.2017.2500ENTaher Ghasemi HonaryDepartment of Mathematics, Kharazmi University, Tehran, IranMashaalah OmidiDepartment of Basic Sciences, Kermanshah University of Technology, Kermanshah, IranAmirHossein SanatpourDepartment of Mathematics, Kharazmi University, Tehran, IranJournal Article20160522For the Fr\'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n \in \mathbb{N}$, $n\geq 2$, a linear map $T:A \rightarrow B$ is called \textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $\varepsilon\geq 0$ such that<br />$$q_k(Ta_1a_2\cdots a_n-Ta_1Ta_2\cdots Ta_n)\leq \varepsilon p_k(a_1) p_k(a_2)\cdots p_k(a_n),$$<br />for each $k\in \mathbb{N}$ and $a_1, a_2, \ldots, a_n\in A$. The linear map $T$ is called \textit{weakly almost $n$-multiplicative}, if there exists $\varepsilon\geq 0$ such that for every $k\in \mathbb{N}$ there exists $n(k)\in \mathbb{N}$ with<br />$$q_k(Ta_1a_2\cdots a_n-Ta_1Ta_2\cdots Ta_n)\leq \varepsilon p_{n(k)}(a_1) p_{n(k)}(a_2)\cdots p_{n(k)}(a_n),$$<br />for each $k \in \mathbb{N}$ and $a_1, a_2, \ldots, a_n\in A$.<br />The linear map $T$ is called $n$-multiplicative if<br />$$Ta_{1}a_{2} \cdots a_{n} = Ta_{1} Ta_{2} \cdots Ta_{n},$$<br />for every $a_{1}, a_{2},\ldots, a_{n} \in A$.<br /><br />In this paper, we investigate automatic continuity of (weakly) almost $n$-multiplicative maps between certain classes of Fr\'{e}chet algebras, including Banach algebras. We show that if $(A, (p_k))$ is a Fr\'{e}chet algebra and $T: A \rightarrow \mathbb{C}$ is a weakly almost $n$-multiplicative linear functional, then either $T$ is $n$-multiplicative, or it is continuous. Moreover, if $(A, (p_k))$ and $(B, (q_k))$ are Fr\'{e}chet algebras and $T:A \rightarrow B$ is a continuous linear map, then under certain conditions $T$ is weakly almost $n$-multiplicative for each $n\geq 2$. In particular, every continuous linear functional on $A$ is weakly almost $n$-multiplicative for each $n\geq 2$.https://ijnaa.semnan.ac.ir/article_2500_05334ad00015c7183c16bcaeeaa21ae5.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701On the real quadratic fields with certain continued fraction expansions and fundamental units197208257010.22075/ijnaa.2017.1610.1420ENOzen OzerDepartment of Mathematics, Faculty of Science and Arts, Ki rklareli University, 39000-Ki rklareli, TurkeyAhmed KhammashDepartment of Mathematics, Al-Qura University, Makkah,21955, Saudi ArabiaJournal Article20160917The purpose of this paper is to investigate the real quadratic number fields $Q(\sqrt{d})$ which contain the specific form of the continued fractions expansions of integral basis element where $d\equiv 2,3( mod 4)$ is a square free positive integer. Besides, the present paper deals with determining the fundamental unit<br />$$\epsilon _{d}=\left(t_d+u_d\sqrt{d}\right)\ 2\left.\right > 1$$<br />and $n_d$ and $m_d$ Yokoi's $d$-invariants by reference to continued fraction expansion of integral basis element where $\ell \left({d}\right)$ is a period length. Moreover, we mention class number for such fields. Also, we give some numerical results concluded in the tables.https://ijnaa.semnan.ac.ir/article_2570_f031084ca84601432b4d0a9b9ec8e67d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces209224250210.22075/ijnaa.2017.1636.1429ENHossein MonfaredDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranMahdi AzhiniDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranMehdi AsadiDepartment of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, IranJournal Article20160928Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In 2014 Asadi and {\it et al.} [New Extension of $p$-Metric Spaces with Some fixed point Results on $M$-metric paces, J. Ineq. Appl. 2014 (2014): 18] extend the Partial metric spaces to $M$-metric spaces. In this work, we introduce the class of $F(\psi,\varphi)$-contractions and investigate the existence and uniqueness of fixed points for the new class $\mathcal{C}$ in the setting of $M$-metric spaces. The theorems that we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions.https://ijnaa.semnan.ac.ir/article_2502_9859ace6f794b72f4e7dcfdcef8fbe62.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions225233250310.22075/ijnaa.2017.1621.1427ENIlknur YesilceMersin University, Faculty of Science and Letters, Department of Mathematics, 33343, Mersin, Turkey0000-0001-9841-0742Gabil AdilovAkdeniz University, Faculty of Education, Department of Mathematics, 07058, Antalya, Turkey0000-0003-3012-6176Journal Article20160926Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions are proven.https://ijnaa.semnan.ac.ir/article_2503_47aad633f8dde9d4ebbec7a4f5100c63.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Some properties of analytic functions related with bounded positive real part235244239710.22075/ijnaa.2017.1154.1308ENRahim KargarYoung Researchers and Elite Club, Urmia Branch, Islamic Azad University, Urmia, IranAli EbadianDepartment of Mathematics, Payame Noor University, IranJanusz SokolDepartment of Mathematics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, PolandJournal Article20160314In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.https://ijnaa.semnan.ac.ir/article_2397_5dc76a49635a49e0934c56bd1d62a67c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)245260250410.22075/ijnaa.2017.2504ENG.S. SalujaDepartment of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), IndiaHemant Kumar NashineDepartment of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA0000-0002-0250-9172Yumnam Rohen SinghNational Institute of Technology Manipur, Takyelpat, Imphal-795001, Manipur, IndiaJournal Article20150725In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and $\Delta$-convergence theorems in the framework of CAT(0) spaces. By doing this, some of the results existing in the current literature generalize, unify and extend.https://ijnaa.semnan.ac.ir/article_2504_4f42776057d80c7ee758a87c0e9d7781.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701A note on the Young type inequalities261267250610.22075/ijnaa.2017.1231.1289ENLeila NasiriDepartment Mathematics, Lorestan University, IranMahmood ShakooriDepartment Mathematics, Lorestan University, IranWenshi LiaoCollege of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. ChinaJournal Article20160224In this paper, we present some refinements of the famous Young type inequality. As application of our result, we obtain some matrix inequalities for the Hilbert-Schmidt norm and the trace norm. The results obtained in this paper can be viewed as refinement of the derived results by H. Kai [Young type inequalities for matrices, J. East China Norm. Univ. 4 (2012) 12--17].https://ijnaa.semnan.ac.ir/article_2506_a808c7d7d539b34d6ab843f781924432.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701An inexact alternating direction method with SQP regularization for the structured variational inequalities269289250910.22075/ijnaa.2017.1860.1485ENAbdellah BnouhachemIbn Zohr University, ENSA, BP 1136, Agadir, MoroccoTh.M. RassiasDepartment of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, GreeceJournal Article20161110In this paper, we propose an inexact alternating direction method with square quadratic proximal (SQP) regularization for the structured variational inequalities. The predictor is obtained via solving SQP system approximately under significantly relaxed accuracy criterion and the new iterate is computed directly by an explicit formula derived from the original SQP method. Under appropriate conditions, the global convergence of the proposed method is proved. We show the $O(1/t)$ convergence rate for the inexact SQP alternating direction method. We also reported some numerical results to illustrate the efficiency of the proposed method.https://ijnaa.semnan.ac.ir/article_2509_9008cf901d3dc9e7ee50dae1dfcd52d0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Similarity measurement for describe user images in social media291299251010.22075/ijnaa.2017.10744.1522ENAlireza Tavakoli TarghiCS group of Mathematics department, Shahid Beheshti University, Tehran, IranJournal Article20160213Online social networks like Instagram are places for communication. Also, these media produce rich metadata which are useful for further analysis in many fields including health and cognitive science. Many researchers are using these metadata like hashtags, images, etc. to detect patterns of user activities. However, there are several serious ambiguities like how much reliable are these information. In this paper, we attempt to answer two main questions. Firstly, are image hashtags directly related to image concepts? Can image concepts being predicted using machine learning models? The results of our analysis based on 105000 images on Instagram show that user hashtags are hardly related to image concepts (only 10\%of test cases). Second contribution of this paper is showing the suggested pre-trained model predicate image concepts much better (more than 50\% of test cases) than user hashtags. Therefore, it is strongly recommended to social media researchers not to rely only on the user hashtags as a label of images or as a signal of information for their study. Alternatively, they can use machine learning methods line deep convolutional neural network model to describe images to extract more related contents. As a proof of concept, some results on food images are studied. We use few similarity measurements to compare result of human and deep convolutional neural network. These analysis is important because food is an important society health field.Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces301314251110.22075/ijnaa.2017.1460.1370ENSaid MellianiDepartment of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, MoroccoLalla Saadia ChadliDepartment of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, MoroccoAbdelati El AllaouiDepartment of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco0000-0001-7197-4951Journal Article20160619This paper deals with the Periodic boundary value problems for Controlled nonlinear impulsive evolution equations. By using the theory of semigroup and fixed point methods, some conditions ensuring the existence and uniqueness. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.https://ijnaa.semnan.ac.ir/article_2511_9c928d75339bfb53c6c6d7d33589f99b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered $b$-metric spaces31532945310.22075/ijnaa.2016.453ENArsalan AnsariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranAbdolrahman RazaniDepartment of Mathematics, Faculty of Science, Imam Khomeini International University, Postal code 34149-16818, Qazvin, IranNawab HussainDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaJournal Article20151105In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered $b$-metric spaces. Also, we derive certain coincidence point results for such contractions. An illustrative example is provided here to highlight our findings.https://ijnaa.semnan.ac.ir/article_453_1af16f96e2bd98fc07f75a2ba92620bb.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701New integral inequalities for $s$-preinvex functions331336251310.22075/ijnaa.2017.3084.1498ENBadreddine MeftahLaboratoire des t\'{e}l\'{e}communications, Facult\'{e} des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria0000-0002-0156-7864Journal Article20170125In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi<br />$$\underset{a}{\overset{a+\eta \left( b,a\right) }{\int }}\left( x-a\right)^{p}\left( a+\eta \left( b,a\right) -x\right) ^{q}f\left( x\right) dx$$<br />in the cases where $f$ and $\left| f\right| ^{\lambda }$ for $\lambda >1$, are $s$-preinvex functions in the second sense.https://ijnaa.semnan.ac.ir/article_2513_0bf0cb71a40e7530f29390a2af97814d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type337351251610.22075/ijnaa.2017.1355.1334ENReza AllahyariDepartment of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, IranAsadollah AghajaniSchool of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, Iran0000-0003-0358-4518Journal Article20160425In this brief note, using the technique of measures of noncompactness, we give some extensions of Darbo fixed point theorem. Also we prove an existence result for a quadratic integral equation of Hammerstein type on an unbounded interval in two variables which includes several classes of nonlinear integral equations of Hammerstein type. Furthermore, an example is presented to show the efficiency of our result.https://ijnaa.semnan.ac.ir/article_2516_53794ed15760aa0136631bfa489ca584.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces353388252310.22075/ijnaa.2017.11144.1543ENCristian AlecsaBabec s-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania, Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, RomaniaJournal Article20170425In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.https://ijnaa.semnan.ac.ir/article_2523_4466d793e9cc175859682633bda03bb0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228120170701The structure of ideals, point derivations, amenability and weak amenability of extended Lipschitz algebras38940449310.22075/ijnaa.2016.493ENMaliheh MayghaniDepartment of Mathematics, Payame Noor University, Tehran, 19359-3697, IranDavood AlimohammadiDepartment of Mathematics, Faculty of Science, Arak University,
Arak, Iran0000-0002-9398-6213Journal Article20160317Let $(X,d)$ be a compact<br />metric space and let $K$ be a nonempty compact subset of $X$. Let $\alpha \in (0, 1]$ and let ${\rm Lip}(X,K,d^ \alpha)$ denote the Banach algebra of all continuous complex-valued functions $f$ on<br />$X$ for which<br />$$p_{(K,d^\alpha)}(f)=\sup\{\frac{|f(x)-f(y)|}{d^\alpha(x,y)} : x,y\in K , x\neq y\}<\infty$$<br />when it is equipped with the algebra norm $||f||_{{\rm Lip}(X, K, d^ {\alpha})}= ||f||_X+ p_{(K,d^{\alpha})}(f)$, where $||f||_X=\sup\{|f(x)|:~x\in X \}$. In this paper we first study the structure of certain ideals of ${\rm Lip}(X,K,d^\alpha)$. Next we show that if $K$ is infinite and ${\rm int}(K)$ contains a limit point of $K$ then ${\rm Lip}(X,K,d^\alpha)$ has at least a nonzero continuous point derivation and applying this fact we prove that ${\rm Lip}(X,K,d^\alpha)$ is not weakly amenable and amenable.https://ijnaa.semnan.ac.ir/article_493_c33ba9a36bbd03e49c6d1e1671e3f46e.pdf