Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 07 02 2018 06 01 Numerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method 75 85 540893 EN H. Laeli Dastjerdi Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran M. Nili Ahmadabadi Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran Journal Article 2016 12 27 ‎In this paper‎, ‎a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form \$s^{beta}(t-s)^{-alpha}G(y(s))\$ based on the Tau method‎. ‎In this method‎, ‎a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution‎. ‎Error analysis of this method is also presented‎. ‎Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method‎. http://jlta.iauctb.ac.ir/article_540893_15536c980ac1f2c9de9e47e56f86264e.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 07 02 2018 06 01 New three-step iteration process and fixed point approximation in Banach spaces 87 100 540894 EN K. Ullah Department of Mathematics, International Islamic University H-10, 44000- Islamabad, Pakistan M. Arshad Department of Mathematics, International Islamic University H-10, 44000- Islamabad, Pakistan Journal Article 2017 10 25 ‎In this paper we propose a new iteration process‎, ‎called the \$K^{ast }\$ iteration process‎, ‎for approximation of fixed‎ ‎points‎. ‎We show that our iteration process is faster than the existing well-known iteration processes using numerical examples‎. ‎Stability of the \$K^{ast‎}‎\$ iteration process is also discussed‎. ‎Finally we prove some weak and strong convergence theorems for Suzuki generalized nonexpansive mappings in the setting of uniformly convex Banach spaces‎. ‎Our results are the extension‎, ‎improvement and generalization of many well-known results in the literature of iterations in‎ ‎fixed point theory‎. http://jlta.iauctb.ac.ir/article_540894_7f56deb6bb491b42eb6aade3302b2847.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 07 02 2018 06 01 A note on the new basis in the mod 2 Steenrod algebra 101 107 540968 EN T. Vergili Department of Mathematics, Faculty of Science, Ege University, Turkey 0000-0003-1821-6697 I. Karaca Department of Mathematics, Faculty of Science, Ege University, Turkey Journal Article 2018 01 11 ‎The Mod \$2\$ Steenrod algebra is a Hopf algebra that consists of the primary cohomology operations‎, ‎denoted by \$Sq^n\$‎, ‎between the cohomology groups with \$mathbb{Z}_2\$ coefficients of any topological space‎. ‎Regarding to its vector space structure over \$mathbb{Z}_2\$‎, ‎it has many base systems and some of the base systems can also be restricted to its sub algebras‎. ‎On the contrary‎, ‎in addition to the work of Wood‎, ‎in this paper we define a new base system for the Hopf subalgebras \$mathcal{A}(n)\$ of the mod \$2\$ Steenrod algebra which can be extended to the entire algebra‎. ‎The new base system is obtained by defining a new linear ordering on the pairs \$(s+t,s)\$ of exponents of the atomic squares \$Sq^{2^s(2^t-1)}\$ for the integers \$sgeq 0\$ and \$tgeq 1\$‎. http://jlta.iauctb.ac.ir/article_540968_7c5b6f76f4c87e519e2a83399b80eb9e.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 07 02 2018 06 01 Stability and hyperstability of orthogonally ring \$*\$-\$n\$-derivations and orthogonally ring \$*\$-\$n\$-homomorphisms on \$C^*\$-algebras 109 119 541008 EN R. Gholami Department of Mathematics, Islamic Azad University Dehloran Branch, Dehloran, Iran Gh. Askari Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran M. Eshaghi Gordji Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran Journal Article 2018 02 12 In this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring \$*\$-\$n\$-derivation and orthogonally ring \$*\$-\$n\$-homomorphism on \$C^*\$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring \$*\$-\$n\$-derivation and orthogonally ring \$*\$-\$n\$-homomorphism on \$C^*\$-algebras. http://jlta.iauctb.ac.ir/article_541008_79e4735f4e3444e5b380eb6cc3001154.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 07 02 2018 06 01 On Laplacian energy of non-commuting graphs of finite groups 121 132 541040 EN P. Dutta Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India R. K. Nath Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India Journal Article 2017 12 13 ‎Let \$G\$ be a finite non-abelian group with center \$Z(G)\$‎. ‎The non-commuting graph of \$G\$ is a simple undirected graph whose vertex set is \$Gsetminus Z(G)\$ and two vertices \$x\$ and \$y\$ are adjacent if and only if \$xy ne yx\$‎. ‎In this paper‎, we compute Laplacian energy of the non-commuting graphs of some classes of finite non-abelian groups‎.. http://jlta.iauctb.ac.ir/article_541040_8cd3233041da38453ff594f7a7132513.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 07 02 2018 06 01 On the powers of fuzzy neutrosophic soft matrices 133 147 541177 EN M. Kavitha Department of Mathematics‎, ‎Annamalai University‎, ‎Annamalainagar-608002‎, ‎India P. Murugadas Department of Mathematics‎, ‎Government Arts college (Autonomous)‎, ‎Karur‎, ‎India S. Sriram Mathematics Wing‎, ‎Directorate of Distance Education‎, ‎Annamalai University‎, Annamalainagar-608002‎, ‎India Journal Article 2018 03 12 In this paper, ‎The powers of fuzzy neutrosophic soft square matrices (FNSSMs) under the operations \$oplus(=max)\$ and \$otimes(=min)\$ are studied‎. ‎We show that the powers of a given FNSM stabilize if and only if its orbits stabilize for each starting fuzzy neutrosophic soft vector (FNSV) and prove a necessary and sufficient condition for this property using the associated graphs of the FNSM‎. ‎Applications of the obtained results to several spacial classes of FNSMs (including circulants) are given‎. http://jlta.iauctb.ac.ir/article_541177_7b0d65f25cb0de011b4d53a11dda7950.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 07 02 2018 06 01 A representation for some groups, a geometric approach 149 153 541178 EN A. Parsian Department of Mathematics‎, ‎Tafresh Universiy‎, ‎39518-79611 Tafresh‎, ‎Iran Journal Article 2018 02 23 ‎In the present paper‎, ‎we are going to use geometric and topological concepts‎, ‎entities and properties of the‎ ‎integral curves of linear vector fields‎, ‎and the theory of differential equations‎, ‎to establish a representation for some groups on \$R^{n} (ngeq 1)\$‎. ‎Among other things‎, ‎we investigate the surjectivity and faithfulness of the representation‎. At the end‎, ‎we give some applications‎.<br /> . http://jlta.iauctb.ac.ir/article_541178_6c204215936e1623e23d670e5d87eccc.pdf