Fixed point theory
201. Common fixed point results for graph preserving mappings in parametric $N_b$-metric spaces

S. Kumar Mohanta; R. Kar

Volume 09, Issue 02 , Spring 2020, , Pages 165-183

Abstract
  In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of graph preserving mappings in parametric $N_b$-metric spaces. As some consequences of this study, we obtain several important results in parametric $b$-metric spaces, parametric $S$-metric ...  Read More

Linear and multilinear algebra; matrix theory
202. Minimal solution of fuzzy neutrosophic soft matrix

M. Kavitha; P. Murugadas; S. Sriram

Volume 06, Issue 02 , Spring 2017, , Pages 171-190

Abstract
  The aim of this article is to study the concept of unique solvability of max-min fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA). A Fuzzy Neutrosophic Soft Matrix (FNSM) is said to have Strong, Linear Independent ...  Read More

Linear and multilinear algebra; matrix theory
203. Some properties of band matrix and its application to the numerical solution one-dimensional Bratu's problem

R. Jalilian; Y. Jalilian; H. Jalilian

Volume 02, Issue 03 , Summer 2013, , Pages 175-189

Abstract
  A Class of new methods based on a septic non-polynomial spline function for the numerical solution one-dimensional Bratu's problem are presented. The local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. The inverse of some band matrixes are obtained which ...  Read More

Linear and multilinear algebra; matrix theory
204. On the square root of quadratic matrices

A. Zardadi

Volume 08, Issue 03 , Summer 2019, , Pages 211-214

Abstract
  Here we present a new approach to calculating the square root of a quadratic matrix. Actually, the purpose of this article is to show how the Cayley-Hamilton theorem may be used to determine an explicit formula for all the square roots of $2\times 2$ matrices.  Read More

Linear and multilinear algebra; matrix theory
205. m-Projections involving Minkowski inverse and range symmetric property in Minkowski space

M. Saleem Lone; D. Krishnaswamy

Volume 05, Issue 03 , Summer 2016, , Pages 215-228

Abstract
  In this paper we study the impact of Minkowski metric matrix on a projection in the Minkowski Space M along with their basic algebraic and geometric properties.The relation between the m-projections and the Minkowski inverse of a matrix A in the minkowski space M is derived. In the remaining ...  Read More

General topology
206. On fuzzy soft connected topological spaces

S. Karataş; B. Kılıccedil; M. Tellioğlu

Volume 04, Issue 03 , Summer 2015, , Pages 229-240

Abstract
  In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness. Moreover, $C_i$-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.  Read More

Fixed point theory
207. $ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph

Sh. Mirzaee; M. Eshaghi Gordji

Volume 07, Issue 03 , Summer 2018, , Pages 245-250

Abstract
  In this paper, we introduce the $ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph so that $(M,\delta)$ is a metric space, and $V(\Gamma)$ is the vertices of $\Gamma$ coincides with $M$. We aim to obtain some new fixed-point results for such contractions. We give an example ...  Read More

Fixed point theory
208. Fixed point theory in generalized orthogonal metric space

M. Eshaghi Gordji; H. Habibi

Volume 06, Issue 03 , Summer 2017, , Pages 251-260

Abstract
  In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.  Read More

Combinatorics
209. On the commuting graph of some non-commutative rings with unity

F. Ramezani; E. Vatandoost

Volume 05, Issue 04 , Autumn 2016, , Pages 289-294

Abstract
  ‎‎Let $R$ be a non-commutative ring with unity‎. ‎The commuting graph‎ of $R$ denoted by $\Gamma(R)$‎, ‎is a graph with a vertex set‎ ‎$R\setminus Z(R)$ and two vertices $a$ and $b$ are adjacent if and only if‎ $ab=ba$‎. ‎In this paper‎, ‎we ...  Read More

Linear and multilinear algebra; matrix theory
210. On the solving matrix equations by using the spectral representation

A. M. Nazari; S. Mollaghasemi; F. Bahmani

Volume 07, Issue 04 , Autumn 2018, , Pages 307-316

Abstract
  ‎The purpose of this paper is to solve two types of Lyapunov equations and quadratic matrix equations by using the spectral representation‎. ‎We focus on solving Lyapunov equations $AX+XA^*=C$ and $AX+XA^{T}=-bb^{T}$ for $A‎, ‎X \in \mathbb{C}^{n \times n}$ and $b \in \mathbb{C} ^{n ...  Read More

211. Numerical solution of functional integral equations by using B-splines

R. Firouzdor; A. Heidarnejad Khoob; Z. Mollaramezani

Volume 01, Issue 01 , Winter 2012, , Pages 45-53

Abstract
  This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method can be extended to functional differential and integro-differential equations. For showing efficiency ...  Read More

212. Recognition of the group $G_2(5)$ by the prime graph

P. Nosratpour; M. R. Darafsheh

Volume 01, Issue 02 , Spring 2012, , Pages 115-120

Abstract
  Let $G$ be a finite group. The prime graph of $G$ is a graph $\Gamma(G)$ with vertex set $\pi(G)$, the set of all prime divisors of $|G|$, and two distinct vertices $p$ and $q$ are adjacent by an edge if $G$ has an element of order $pq$. In this paper we prove that if $\Gamma(G)=\Gamma(G_2(5))$, ...  Read More

Abstract harmonic analysis
213. Classical Wavelet Transforms over Finite Fields

A. Ghaani Farashahi

Volume 04, Issue 04 , Autumn 2015, , Pages 241-257

Abstract
  This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over ...  Read More

Fixed point theory
214. Fixed points of weak $\psi$-quasi contractions in generalized metric spaces

K. P. R. Sastry; G. V. R. Babu; P. S. Kumar

Volume 06, Issue 04 , Autumn 2017, , Pages 323-329

Abstract
  In this paper, we introduce the notion of weak $\psi$-quasi contraction in generalized metric spaces and using this notion we obtain conditions for the existence of fixed points of a self map in $D$-complete generalized metric spaces. We deduce some corollaries from our result and provide examples in ...  Read More

Functional analysis
215. Duals and approximate duals of g-frames in Hilbert spaces

M. Mirzaee Azandaryani; A. Khosravi

Volume 04, Issue 04 , Autumn 2015, , Pages 259-265

Abstract
  In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We ...  Read More

General topology
216. Generalized superconnectedness

E. Bouassida; B. Ghanmi; R. Messaoud; A. Missaoui

Volume 04, Issue 04 , Autumn 2015, , Pages 267-273

Abstract
  A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion superconnected. The main purpose of this paper is to study generalized superconnected spaces. Various characterizations of generalized superconnected spaces and ...  Read More

Group theory and generalizations
217. Quotient Arens regularity of $L^1(G)$

A. Zivari-Kazempour

Volume 04, Issue 04 , Autumn 2015, , Pages 275-281

Abstract
  Let $\mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $\mathcal{A}^\prime$. In this paper we study the quotient Arens regularity of $\mathcal{A}$ with respect to $E$ and prove that the group algebra $L^1(G)$ for a locally compact group $G$, is quotient Arens regular ...  Read More

Linear and multilinear algebra; matrix theory
218. Some results on higher numerical ranges and radii of quaternion matrices

Gh. Aghamollaei; N. Haj Aboutalebi

Volume 04, Issue 04 , Autumn 2015, , Pages 283-288

Abstract
  ‎Let $n$ and $k$ be two positive integers‎, ‎$k\leq n$ and $A$ be an $n$-square quaternion matrix‎. ‎In this paper‎, ‎some results on the $k-$numerical range of $A$ are investigated‎. ‎Moreover‎, ‎the notions of $k$-numerical radius‎, ‎right $k$-spectral ...  Read More

Integral equations
219. A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods

M. Nili Ahmadabadi; H. Laeli Dastjerdi

Volume 04, Issue 04 , Autumn 2015, , Pages 289-304

Abstract
  In this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed Volterra-Fredholm integral equations of the second kind on a non-rectangular domain. The method approximates the solution by the discrete collocation method based on inverse multiquadric radial basis functions ...  Read More

Linear and multilinear algebra; matrix theory
220. A new Approximation to the solution of the linear matrix equation AXB = C

A. Sadeghi

Volume 04, Issue 04 , Autumn 2015, , Pages 305-315

Abstract
  It is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) ...  Read More