Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem112229610.22075/ijnaa.2017.1394.1352ENManouchehr KazemiDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran0000-0001-8392-6690Reza EzzatiDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranJournal Article20160513In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.https://ijnaa.semnan.ac.ir/article_2296_80fd65a54d2078b7f30046da57777be0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Decomposition of supra soft locally closed sets and supra SLC-continuity1325307910.22075/ijnaa.2018.12727.1651ENAlaa Abd El-latifMathematics Department, Faculty of Arts and Science, Northern Border University, Rafha, Saudi ArabiaMathematics Department, Faculty of Education, Ain Shams University, Roxy, 11341, Cairo, EgyptJournal Article20171010In this paper, we introduce two different notions of generalized supra soft sets namely supra A--soft sets and supra soft locally closed sets in supra soft topological spaces, which are weak forms of supra open soft sets and discuss their relationships with each other and other supra open soft sets [International Journal of Mathematical Trends and Technology, (IJMTT), (2014) Vol. 9 (1): 37-56] like supra semi open soft sets, supra pre open soft sets, supra $\alpha$-open sets and supra $\beta$--open sets. Furthermore, the soft union and intersection of two supra soft locally closed sets have been obtained. We also introduce two different notions of generalized supra soft continuity namely supra soft A-continuous functions and supra SLC-continuous functions. Finally, we obtain decompositions of supra soft continuity: $f_{pu}$ is a supra soft A-continuous if it is both supra soft semi-continuous and supra SLC-continuous, and also $f_{pu}$ is a supra soft continuous if and only if it is both supra soft pre-continuous and supra SLC-continuous. Several examples are provided to illustrate the behavior of these new classes of supra soft sets and supra soft functions.https://ijnaa.semnan.ac.ir/article_3079_0ce2a60a6abf1f556e2f1984a2737b0d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces2740308010.22075/ijnaa.2018.12463.1632ENChinedu IzuchukwuSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaJournal Article20170911In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convex<br />minimization problems.https://ijnaa.semnan.ac.ir/article_3080_cbdad3d80d8f73b4f043cf6b8daff31e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Lie ternary $(\sigma,\tau,\xi)$--derivations on Banach ternary algebras4153308110.22075/ijnaa.2018.3081ENRazieh Farokhzad RostamiDepartment of Mathematics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University, Gonbad Kavous, Iran0000-0002-3965-2634Journal Article20160530Let $A$ be a Banach ternary algebra over a scalar field $\Bbb R$ or $\Bbb C$ and $X$ be a ternary Banach $A$--module. Let $\sigma,\tau$ and $\xi$ be linear mappings on $A$, a linear mapping $D:(A,[~]_A)\to (X,[~]_X)$ is called a Lie ternary $(\sigma,\tau,\xi)$--derivation, if<br />$$D([a,b,c])=[[D(a)bc]_X]_{(\sigma,\tau,\xi)}-[[D(c)ba]_X]_{(\sigma,\tau,\xi)}$$<br />for all $a,b,c\in A$, where $[abc]_{(\sigma,\tau,\xi)}=a\tau(b)\xi(c)-\sigma(c)\tau(b)a$ and $[a,b,c]=[abc]_{A}-[cba]_{A}$. In this paper, we prove the generalized Hyers--Ulam--Rassias stability of Lie ternary $(\sigma,\tau,\xi)$--derivations on Banach ternary algebras and $C^*$--Lie ternary $(\sigma,\tau,\xi)$--derivations on $C^*$--ternary algebras for the following Euler--Lagrange type additive mapping:<br />$$\sum_{i=1}^{n}f\textbf{(}\sum_{j=1}^{n}q(x_i-x_j)\textbf{)}<br />+nf(\sum_{i=1}^{n}qx_i)=nq\sum_{i=1}^{n}f(x_i).$$https://ijnaa.semnan.ac.ir/article_3081_6486c63f9dfbcbb69da5dc4438109c41.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination5568308210.22075/ijnaa.2018.11778.1589ENMurugusundaramoorthy GangadharanDr. G. Murugusundaramoorthy, Ph.D.
Sr.Professor of Mathematics,
School of Advanced Sciences,
VIT University, Vellore 632 014
India0000-0001-8285-6619Sunday Oluwafemi OlatunjiDepartment of Mathematical Sciences, Federal University of Technology, Akure, NigeriaO.A. Fadipe-JosephDepartment of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria0000-0001-7781-6807Journal Article20170628In this paper, we define new subclasses ${S}^{*}_{q}(\alpha,\Phi),$ ${M}_{q}(\alpha,\Phi)$ and ${L}_{q}(\alpha,\Phi)$ of analytic functions in the space of logistic sigmoid functions based on quasi--subordination and determine the initial coefficient estimates $|a_2|$ and $|a_3|$ and also determine the relevant connection to the classical Fekete-Szego inequalities. Further, we discuss the improved results for the associated classes involving subordination and majorization results briefly.https://ijnaa.semnan.ac.ir/article_3082_32c7c0a2eb966732ef665b9730390061.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives6981308310.22075/ijnaa.2018.10724.1521ENGhulam FaridMathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, PakistanAnum JavedMathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, PakistanJournal Article20170302In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.https://ijnaa.semnan.ac.ir/article_3083_b8b7d30ba725674609012789386a7b89.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Dynamic system of strategic games8398270610.22075/ijnaa.2017.12774.1657ENMadjid Eshaghi GordjiDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran0000-0002-0077-1142Gholamreza AskariDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, IranJournal Article20171015Maybe an event can't be modeled completely through one game but there is more chance with several games. With emphasis on players' rationality, we present new properties of strategic games, which result in production of other games. Here, a new attitude to modeling will be presented in game theory as dynamic system of strategic games and its some applications such as analysis of the clash between the United States and Iran in Iraq will be provided. In this system with emphasis on players’ rationality, the relationship between strategic games and explicitly the dynamics present in interactions among players will be examined. In addition, we introduce a new game called trickery game. This game shows a good reason for the cunning of some people in everyday life. Cooperation is a hallmark of human society. In many cases, our study provides a mechanism to move towards cooperation between players.https://ijnaa.semnan.ac.ir/article_2706_4ba202a0aba8f61e2a61ec9d80aa3be9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Influences of magnetic field in viscoelastic fluid99109308510.22075/ijnaa.2017.1451.1367ENKashif AliAbroDepartment of Mathematics, NED University of Engineering Technology, Karachi, PakistanMirza MahmoodBaigDepartment of Mathematics, NED University of Engineering Technology, Karachi, PakistanMukruram HussainInstitute of Space Technology, Karachi, PakistanJournal Article20160617This communication influences on magnetohydrodynamic flow of viscoelastic fluid with magnetic field induced by oscillating plate. General solutions have been found out for velocity and shear stress profiles using mathematical transformations (Integral transforms). The governing partial differential equations have been solved analytically under boundary conditions u(0,t)=A_0 H(t)sinΩt and u(0,t)=A_0 H(t)cosΩt with t≥0. For the sake of simplicity of boundary conditions are verified on the analytical general solutions and similar solutions have been particularized under three limited cases namely (i). Maxwell fluid with out magnetic field if γ≠0,M=0 (ii). Newtonian fluid with magnetic field if γ=0,M≠0 and (iii). Newtonian fluid with out magnetic field if γ=0,M=0. Finally various physical parameters with variations of fluid behaviors are analyzed and depicted graphical illustrations.https://ijnaa.semnan.ac.ir/article_3085_6452f001f824094059a183987374f4a3.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Local higher derivations on C*-algebras are higher derivations111115309810.22075/ijnaa.2018.3098ENLila NaranjaniDepartment of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, IranMahmoud HassaniDepartment of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, IranMadjid MirzavaziriDepartment of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad
91775, IranJournal Article20160513Let $\mathfrak{A}$ be a Banach algebra. We say that a sequence $\{D_n\}_{n=0}^\infty$ of continuous operators form $\mathfrak{A}$ into $\mathfrak{A}$ is a \textit{local higher derivation} if to each $a\in\mathfrak{A}$ there corresponds a continuous higher derivation $\{d_{a,n}\}_{n=0}^\infty$ such that $D_n(a)=d_{a,n}(a)$ for each non-negative integer $n$. We show that if $\mathfrak{A}$ is a $C^*$-algebra then each local higher derivation on $\mathfrak{A}$ is a higher derivation. We also prove that each local higher derivation on a $C^*$-algebra is automatically continuous.https://ijnaa.semnan.ac.ir/article_3098_2dd5a1ec2b9eb291b3144ecc1e96595e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Numerical resolution of large deflections in cantilever beams by Bernstein spectral method and a convolution quadrature.117127308610.22075/ijnaa.2017.11240.1549ENMohammadkeya KhosraviInstitute of Applied Mechanics, Graz University of Technology, Technikerstrasse 4, 8010 Graz, AustriaMostafa JaniDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran0000-0002-4596-2495Journal Article20170504The mathematical modeling of the large deflections for the cantilever beams leads to a nonlinear differential equation with the mixed boundary conditions. Different numerical methods have been implemented by various authors for such problems. In this paper, two novel numerical techniques are investigated for the numerical simulation of the problem. The first is based on a spectral method utilizing modal Bernstein polynomial basis. This gives a polynomial expression for the beam configuration. To do so, a polynomial basis satisfying the boundary conditions is presented by using the properties of the Bernstein polynomials. In the second approach, we first transform the problem into an equivalent Volterra integral equation with a convolution kernel. Then, the second order convolution quadrature method is implemented to discretize the problem along with a finite difference approximation for the Neumann boundary condition on the free end of the beam. Comparison with the experimental data and the existing numerical and semi-analytical methods demonstrate the accuracy and efficiency of the proposed methods. Also, the numerical experiments show the Bernstein-spectral method has a spectral order of accuracy and the convolution quadrature methods equipped with a finite difference discretization gives a second order of accuracy.https://ijnaa.semnan.ac.ir/article_3086_2fa91707207706c3ca97107695829a94.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Solutions of initial and boundary value problems via F-contraction mappings in metric-like space129145308910.22075/ijnaa.2017.1725.1452ENHemant Kumar NashineDepartment of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA0000-0002-0250-9172Dhananjay GopalDepartment of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, IndiaDilip JainDepartment of Applied Mathematics & Humanities,
S.V. National Institute of Technology, Surat-395007, Gujarat, IndiaAhmed Al-RawashdehDepartment of Mathematics, United Arab Emirates University, UAEJournal Article20161108We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F-Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.https://ijnaa.semnan.ac.ir/article_3089_b5af7b8a4b803b959039333d370da074.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces147159308710.22075/ijnaa.2018.12168.1614ENSattar AlizadehDepartment of Mathematics,
Marand Branch, Islamic Azad University,
Marand, IranFridoun MoradlouDepartment of Mathematics,
Sahand University of Technology,
Tabriz, IranJournal Article20170805In this paper, applying hybrid projection method, a new modified Ishikawa iteration scheme is presented for finding a common element of the solution set of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in Banach spaces. A numerical example is given and the numerical behaviour of the sequences generated by this algorithm is compared with several existence results in literature to illustrate the usability of obtained results.https://ijnaa.semnan.ac.ir/article_3087_f22c8d3c0741a826a1347239994559cd.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Efficient elliptic curve cryptosystems161174309010.22075/ijnaa.2018.11642.1581ENMohammad SalehMathematics Department, Birzeit University, P.O. Box 14, PalestineKamal DarweeshApplied Mathematics Department, Palestine Technical University--Kadoorie, Tulkarm, PalestineJournal Article20170613Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation, which allow efficient implementations of ECC. In this paper, we improve efficient algorithm for exponentiation on elliptic curves defined over Fp in terms of affine coordinates. The algorithm computes directly from random points P and Q on an elliptic curve, without computing the intermediate points. Moreover, we apply the algorithm to exponentiation on elliptic curves with width-w Mutual Opposite Form (wMOF) and analyze their computational complexity. This algorithm can speed up the wMOF exponentiation of elliptic curves of size 160-bit about (21.7 %) as a result of its implementation with respect to affine coordinates.https://ijnaa.semnan.ac.ir/article_3090_0f826058d0ae814be01864ee304396ac.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Analysis of fully developed flow and heat transfer through n-sided polygonal ducts with round corners using the Galerkin weighted residual method175193308810.22075/ijnaa.2017.10429.1502ENAli Akbar Abbasian AraniDepartment of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, IranAli ArefmaneshDepartment of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, IranAmirhossein NiroumandDepartment of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, IranJournal Article20170201The Galerkin weighted residuals method is extended solve the laminar, fully developed flow and heat transfer of Al2O3-water nanofluid inside polygonal ducts with round corners for the constant heat flux and uniform wall temperature boundary conditions. Using the method, semi-analytical, closed-form solutions are obtained for the friction coefficient and the Nusselt number in terms of the radius of the round corners for the triangular, rectangular, hexagonal, and octagonal ducts. The effects of varying the radius of the round corners and the volume fraction of the nanoparticles on the friction coefficient and the Nusselt number are analyzed. The results show that the friction factor and the average Nusselt number increase with increasing the radius of the round corners. The study indicates that the Galerkin weighted residuals method is an accurate and efficient technique to obtain closed-form solutions for the flow and temperature fields in ducts with complex cross sectional shapes.https://ijnaa.semnan.ac.ir/article_3088_401f00e4daaf23f9740067ab22865a13.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901(JCLR) property and fixed point in non-Archimedean fuzzy metric spaces195201309210.22075/ijnaa.2018.10861.1529ENIsmat BegLahore School of Economics, Lahore, Pakistan0000-0002-4191-1498M. AhmedDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptN. NafadiDepartment of Mathematics, Faculty of Science, Port Said University, Port Said, EgyptJournal Article20170314The aim of the present paper is to introduce the concept of joint common limit range property ((JCLR) property) for single-valued and set-valued maps in non-Archimedean fuzzy metric spaces. We also list some examples to show the difference between (CLR) property and (JCLR) property. Further, we establish common fixed point theorems using implicit relation with integral contractive condition. Several examples to illustrate the significance of our results are given.https://ijnaa.semnan.ac.ir/article_3092_2f1f766d89f68e23e74e6d57c2a062e0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Endpoints of multi-valued cyclic contraction mappings203210309310.22075/ijnaa.2018.3093ENSirous MoradiDepartment of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, IranJournal Article20151102Endpoint results are presented for multi-valued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), Daffer-Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).https://ijnaa.semnan.ac.ir/article_3093_e6242ec1c326609daf7f125e152ae988.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Fractional Hermite-Hadamard type inequalities for n-times log-convex functions211221309410.22075/ijnaa.2018.12016.1601ENNawel OuanasDepartement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, AlgeriaBadreddine MeftahLaboratoire des tecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.0000-0002-0156-7864Meriem MeradDepartement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, AlgeriaJournal Article20170721In this paper, we establish some Hermite-Hadamard type inequalities for function whose n-th derivatives are logarithmically convex by using Riemann-Liouville integral operator.https://ijnaa.semnan.ac.ir/article_3094_ca41a655282c9d139a02d65706aa0d5c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces223234309510.22075/ijnaa.2018.1596.1416ENPornsak YatakoatDivision of Mathematics, Faculty of Sciences, Nakhon Phanom University, Nakhon Phanom 48000, ThailandJournal Article20160908In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive non-self mappings. Strong convergence theorems of the proposed iteration in Banach spaces.https://ijnaa.semnan.ac.ir/article_3095_d8a45ff392ad80350a74ef5cf80f13b7.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Homomorphism Weak amenability of certain Banach algebras235245309910.22075/ijnaa.2018.1201.1276ENHamid SadeghiDepartment of Mathematics, Faculty of Science, University of Isfahan, Isfahan, IranMahmmod LashkarizadehDepartment of Mathematics, Faculty of Science, University of Isfahan, Isfahan, IranJournal Article20160210In this paper we introduce the notion of $\varphi$-commutativity for a Banach algebra $A$, where $\varphi$ is a continuous homomorphism on $A$ and study the concept of $\varphi$-weak amenability for $\varphi$-commutative Banach algebras. We give an example to show that the class of $\varphi$-weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We characterize $\varphi$-weak amenability of $\varphi$-commutative Banach algebras and prove some hereditary properties. Moreover we verify some of the previous available results about commutative weakly amenable Banach algebras, for $\varphi$-commutative $\varphi$-weakly amenable Banach algebras.https://ijnaa.semnan.ac.ir/article_3099_3c9686cd0612388fda1d7fbfe656ad40.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180901Higher order multi-point fractional boundary value problems with integral boundary conditions247260309610.22075/ijnaa.2018.13610.1708ENİsmail YaslanDepartment of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, TurkeyMustafa GunendiDepartment of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, TurkeyJournal Article20180105In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed point index, Avery-Henderson fixed point theorem and the Legget-Williams fixed point theorem, respectively.https://ijnaa.semnan.ac.ir/article_3096_c23cec9aa516bada1c5c4819b2c9df69.pdf