Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem 1 12 EN Manouchehr Kazemi 0000-0001-8392-6690 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran univer_ka@yahoo.com Reza Ezzati Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran ezati@kiau.ac.ir 10.22075/ijnaa.2017.1394.1352 In 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. Nonlinear integral equations,Existence of solution,Measures of noncompactness,Petryshyn's fixed point theorem https://ijnaa.semnan.ac.ir/article_2296.html https://ijnaa.semnan.ac.ir/article_2296_80fd65a54d2078b7f30046da57777be0.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Decomposition of supra soft locally closed sets and supra SLC-continuity 13 25 EN Alaa Abd El-latif Mathematics Department, Faculty of Arts and Science, Northern Border University, Rafha, Saudi Arabia alaa.ali@nbu.edu.sa 10.22075/ijnaa.2018.12727.1651 In 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. supra soft topological space,supra A-soft sets,supra soft locally closed sets,supra SLC-continuous functions https://ijnaa.semnan.ac.ir/article_3079.html https://ijnaa.semnan.ac.ir/article_3079_0ce2a60a6abf1f556e2f1984a2737b0d.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces 27 40 EN Chinedu Izuchukwu School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa izuchukwu_c@yahoo.com 10.22075/ijnaa.2018.12463.1632 In 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. Split variational inequality problems,multiple-sets problems, convex minimization problems,strictly pseudocontractive mapping,inverse strongly monotone operators https://ijnaa.semnan.ac.ir/article_3080.html https://ijnaa.semnan.ac.ir/article_3080_cbdad3d80d8f73b4f043cf6b8daff31e.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Lie ternary \$(sigma,tau,xi)\$--derivations on Banach ternary algebras 41 53 EN Razieh Farokhzad Rostami 0000-0002-3965-2634 Department of Mathematics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University, Gonbad Kavous, Iran razieh.farokhzad@yahoo.com 10.22075/ijnaa.2018.3081 Let <span>\$A\$</span> be a Banach ternary algebra over a scalar field <span>\$Bbb R\$</span> or <span>\$Bbb C\$</span><br /> and <span>\$X\$</span> be a ternary Banach <span>\$A\$</span>--module. Let <span>\$sigma,tau\$</span> and <span>\$xi\$</span> be linear mappings on <span>\$A\$</span>, a linear mapping<br /> <span>\$D:(A,[~]_A)to (X,[~]_X)\$</span> is called a Lie ternary <span>\$(sigma,tau,xi)\$</span>--derivation, if<br /> <span>\$\$D([a,b,c])=[[D(a)bc]_X]_{(sigma,tau,xi)}-[[D(c)ba]_X]_{(sigma,tau,xi)}\$\$</span><br /> for all<br /> <span>\$a,b,cin A\$</span>, where <span>\$[abc]_{(sigma,tau,xi)}=atau(b)xi(c)-sigma(c)tau(b)a\$</span> and <span>\$[a,b,c]=[abc]_{A}-[cba]_{A}\$</span>.<br /> In this paper, we prove the generalized <span>Hyers</span>--<span>Ulam</span>--<span>Rassias</span><br /> stability of Lie ternary <span>\$(sigma,tau,xi)\$</span>--derivations on Banach<br /> ternary algebras and <span>\$C^*\$</span>--Lie ternary <span>\$(sigma,tau,xi)\$</span>--derivations on <span>\$C^*\$</span>--ternary algebras for the following Euler--Lagrange type additive mapping:<br /> <span>\$\$sum_{i=1}^{n}ftextbf{(}sum_{j=1}^{n}q(x_i-x_j)textbf{)}</span><br /> <span>+nf(sum_{i=1}^{n}qx_i)=nqsum_{i=1}^{n}f(x_i).\$\$</span> Banach ternary algebra,Lie ternary \$(sigma,tau,xi)\$-derivation,Hyers-Ulam-Rassias stability https://ijnaa.semnan.ac.ir/article_3081.html https://ijnaa.semnan.ac.ir/article_3081_6486c63f9dfbcbb69da5dc4438109c41.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Fekete-Szeg"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination 55 68 EN Murugusundaramoorthy Gangadharan 0000-0001-8285-6619 Dr. G. Murugusundaramoorthy, Ph.D. Sr.Professor of Mathematics, School of Advanced Sciences, VIT University, Vellore 632 014 India gmsmoorthy@yahoo.com Sunday Oluwafemi Olatunji Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria olatunjiso@futa.edu.ng O.A. Fadipe-Joseph 0000-0001-7781-6807 Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria famelov@unilorin.edu.ng 10.22075/ijnaa.2018.11778.1589 In 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. univalent function,starlike function,quasi--subordination,logistic sigmoid function,Fekete-Szego inequality https://ijnaa.semnan.ac.ir/article_3082.html https://ijnaa.semnan.ac.ir/article_3082_32c7c0a2eb966732ef665b9730390061.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 On Hadamard and Fej'{e}r-Hadamard inequalities for Caputo \$small{k}\$-fractional derivatives 69 81 EN Ghulam Farid Mathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan faridphdsms@hotmail.com Anum Javed Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan javedanum.38@gmail.com 10.22075/ijnaa.2018.10724.1521 In 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. Convex functions,Hadamard inequality,Fejer-Hadamard inequality,Caputo fractional derivatives https://ijnaa.semnan.ac.ir/article_3083.html https://ijnaa.semnan.ac.ir/article_3083_b8b7d30ba725674609012789386a7b89.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Dynamic system of strategic games 83 98 EN Madjid Eshaghi Gordji Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran meshaghi@semnan.ac.ir Gholamreza Askari Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran g.askari@semnan.ac.ir 10.22075/ijnaa.2017.12774.1657 Maybe 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. Dynamic system,game theory,Second Persian Gulf War,Cooperation,Rationality https://ijnaa.semnan.ac.ir/article_2706.html https://ijnaa.semnan.ac.ir/article_2706_4ba202a0aba8f61e2a61ec9d80aa3be9.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Influences of magnetic field in viscoelastic fluid 99 109 EN Kashif Ali Abro Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan kashif.abro@faculty.muet.edu.pk Mirza Mahmood Baig Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan baig@neduet.edu.pk Mukruram Hussain Institute of Space Technology, Karachi, Pakistan mrmukkarum@yahoo.com 10.22075/ijnaa.2017.1451.1367 This 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. MHD Maxwell fluid,Laplace and Fourier transforms,rheological Parameters https://ijnaa.semnan.ac.ir/article_3085.html https://ijnaa.semnan.ac.ir/article_3085_6452f001f824094059a183987374f4a3.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Local higher derivations on C*-algebras are higher derivations 111 115 EN Lila Naranjani Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran lnaranjani@yahoo.com Mahmoud Hassani Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran mhassanimath@gmail.com Madjid Mirzavaziri Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran mirzavaziri@um.ac.ir 10.22075/ijnaa.2018.3098 Let \$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 \$ainmathfrak{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. Higher derivation,local higher derivation,Derivation,local derivation https://ijnaa.semnan.ac.ir/article_3098.html https://ijnaa.semnan.ac.ir/article_3098_2dd5a1ec2b9eb291b3144ecc1e96595e.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Numerical resolution of large deflections in cantilever beams by Bernstein spectral method and a convolution quadrature. 117 127 EN Mohammadkeya khosravi Institute of Applied Mechanics, Graz University of Technology, Technikerstrasse 4, 8010 Graz, Austria khosravi@student.tugraz.at Mostafa Jani 0000-0002-4596-2495 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran mostafa.jani@gmail.com 10.22075/ijnaa.2017.11240.1549 The 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. Bernstein polynomials,Cantilever beam,Large deflection,Nonlinearity,Convolution quadrature https://ijnaa.semnan.ac.ir/article_3086.html https://ijnaa.semnan.ac.ir/article_3086_2fa91707207706c3ca97107695829a94.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Solutions of initial and boundary value problems via F-contraction mappings in metric-like space 129 145 EN Hemant Kumar Nashine 0000-0002-0250-9172 Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA drhknashine@gmail.com Dhananjay Gopal Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India gopaldhananjay@yahoo.in Dilip Jain Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India dilip18pri@gmail.com Ahmed Al-Rawashdeh Department of Mathematics, United Arab Emirates University, UAE ahmedrawashdeh72@yahoo.ca 10.22075/ijnaa.2017.1725.1452 We 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. Metric-like space, fixed point,F-contraction,boundary value problem https://ijnaa.semnan.ac.ir/article_3089.html https://ijnaa.semnan.ac.ir/article_3089_b5af7b8a4b803b959039333d370da074.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces 147 159 EN Sattar Alizadeh Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran salizadeh@marandiau.ac.ir Fridoun Moradlou Department of Mathematics, Sahand University of Technology, Tabriz, Iran fridoun.moradlou@gmail.com 10.22075/ijnaa.2018.12168.1614 In 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. Equilibrium problems,Fixed point,Hybrid method,Relatively nonexpansive mapping,Weak convergence https://ijnaa.semnan.ac.ir/article_3087.html https://ijnaa.semnan.ac.ir/article_3087_f22c8d3c0741a826a1347239994559cd.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Efficient elliptic curve cryptosystems 161 174 EN Mohammad Saleh Mathematics Department, Birzeit University, P.O. Box 14, Palestine msaleh@birzeit.edu Kamal Darweesh Applied Mathematics Department, Palestine Technical University--Kadoorie, Tulkarm, Palestine kdarweesh.scom@gmail.com 10.22075/ijnaa.2018.11642.1581 Elliptic 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. cryptography,elliptic curves,affine coordinates https://ijnaa.semnan.ac.ir/article_3090.html https://ijnaa.semnan.ac.ir/article_3090_0f826058d0ae814be01864ee304396ac.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Analysis of fully developed flow and heat transfer through n-sided polygonal ducts with round corners using the Galerkin weighted residual method 175 193 EN Ali Akbar Abbasian Arani Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran abbasian@kashanu.ac.ir Ali Arefmanesh Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran arefmanesh@kashanu.ac.ir Amirhossein Niroumand Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran ahnmechanics@gmail.com 10.22075/ijnaa.2017.10429.1502 The 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. Fully developed flow,Polygonal ducts,Semi-analytic solutions,Galerkin weighted residual method,Nanofluid https://ijnaa.semnan.ac.ir/article_3088.html https://ijnaa.semnan.ac.ir/article_3088_401f00e4daaf23f9740067ab22865a13.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 (JCLR) property and fixed point in non-Archimedean fuzzy metric spaces 195 201 EN Ismat Beg 0000-0002-4191-1498 Lahore School of Economics, Lahore, Pakistan ibeg@lahoreschool.edu.pk M. Ahmed Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt mahmed68@yahoo.com N. Nafadi Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt hatem9007@yahoo.com 10.22075/ijnaa.2018.10861.1529 The 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. Fixed point,(JCLR) property,non-Archimedean fuzzy metric space,hybrid map https://ijnaa.semnan.ac.ir/article_3092.html https://ijnaa.semnan.ac.ir/article_3092_2f1f766d89f68e23e74e6d57c2a062e0.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Endpoints of multi-valued cyclic contraction mappings 203 210 EN Sirous Moradi Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran sirousmoradi@gmail.com 10.22075/ijnaa.2018.3093 Endpoint 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). Multi-valued mapping,Generalized weak contraction,Endpoint,Hausdorff metric https://ijnaa.semnan.ac.ir/article_3093.html https://ijnaa.semnan.ac.ir/article_3093_e6242ec1c326609daf7f125e152ae988.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Fractional Hermite-Hadamard type inequalities for n-times log-convex functions 211 221 EN Nawel Ouanas Departement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, Algeria ouanasnawel@yahoo.fr Badreddine Meftah 0000-0002-0156-7864 Laboratoire des tecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria. badrimeftah@yahoo.fr Meriem Merad Departement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, Algeria mrad.meriem@gmail.com 10.22075/ijnaa.2018.12016.1601 In this paper, we establish some Hermite-Hadamard type inequalities for function whose n-th derivatives are logarithmically convex by using Riemann-Liouville integral operator. Integral inequality,log-convex function,Hölder inequality,power mean inequality https://ijnaa.semnan.ac.ir/article_3094.html https://ijnaa.semnan.ac.ir/article_3094_ca41a655282c9d139a02d65706aa0d5c.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces 223 234 EN Pornsak Yatakoat Division of Mathematics, Faculty of Sciences, Nakhon Phanom University, Nakhon Phanom 48000, Thailand p_yatakoat@npu.ac.th 10.22075/ijnaa.2018.1596.1416 In 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. nonexpansive non-self mappings,Common xed points,Banach spaces https://ijnaa.semnan.ac.ir/article_3095.html https://ijnaa.semnan.ac.ir/article_3095_d8a45ff392ad80350a74ef5cf80f13b7.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Homomorphism Weak amenability of certain Banach algebras 235 245 EN Hamid Sadeghi Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran sadeghi@sci.ui.ac.ir Mahmmod Lashkarizadeh Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran lashkarizadeh@sci.ui.ac.ir 10.22075/ijnaa.2018.1201.1276 In 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. Banach algebra,\$varphi\$-commutative,\$varphi\$-derivation,\$varphi\$-weakly amenability https://ijnaa.semnan.ac.ir/article_3099.html https://ijnaa.semnan.ac.ir/article_3099_3c9686cd0612388fda1d7fbfe656ad40.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 1 2018 08 01 Higher order multi-point fractional boundary value problems with integral boundary conditions 247 260 EN İsmail Yaslan Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey iyaslan@pau.edu.tr Mustafa Gunendi Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey mustafa_87875@hotmail.com 10.22075/ijnaa.2018.13610.1708 In 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. Boundary value problems,cone,fixed point theorems,positive solutions,Riemann-Liouville fractional derivative,integral boundary conditions https://ijnaa.semnan.ac.ir/article_3096.html https://ijnaa.semnan.ac.ir/article_3096_c23cec9aa516bada1c5c4819b2c9df69.pdf