Operator theory
126. Algebraic distance in algebraic cone metric spaces and its properties

K. Fallahi; G. Soleimani Rad

Volume 07, Issue 04 , Autumn 2018, , Pages 273-280

Abstract
  In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.  Read More

Fixed point theory
127. Common best proximity points for $(\psi-\phi)$-generalized weak proximal contraction type mappings

K. K. M. Sarma; G. Yohannes

Volume 06, Issue 04 , Autumn 2017, , Pages 289-300

Abstract
  In this paper, we introduce a pair of generalized proximal contraction mappings and prove the existence of a unique best proximity point for such mappings in a complete metric space. We provide examples to illustrate our result. Our result extends some of the results in the literature.  Read More

128. OD-characterization of almost simple groups related to U3(11)

P. Nosratpour; M. R. Darafsheh

Volume 01, Issue 01 , Winter 2012, , Pages 27-32

Abstract
  Let $L := U_3(11)$. In this article, we classify groups with the same order and degree pattern as an almost simple group related to $L$. In fact, we prove that $L$, $L:2$ and $L:3$ are OD-characterizable, and $L:S_3$ is $5$-fold OD-characterizable.  Read More

Integral equations
129. Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind

M. Paripour; Z. Shojaei; S. Abdolahi

Volume 03, Issue 01 , Winter 2014, , Pages 35-45

Abstract
  In this paper, the Bernstein polynomials are used to approximate the solutions of linear integral equations with multiple time lags (IEMTL) through expansion methods (collocation method, partition method, Galerkin method). The method is discussed in detail and illustrated by solving some numerical ...  Read More

Integral equations
130. Numerical solution of Fredholm integral-differential equations on unbounded domain

M. Matinfar; A. Riahifar

Volume 04, Issue 01 , Winter 2015, , Pages 43-52

Abstract
  In this study, a new and efficient approach is presented for numerical solution of Fredholm integro-differential equations (FIDEs) of the second kind on unbounded domain with degenerate kernel based on operational matrices with respect to generalized Laguerre polynomials(GLPs). Properties ...  Read More

General topology
131. F-Closedness in Bitopological Spaces

A. A. Nasef; A. Azzam

Volume 05, Issue 01 , Winter 2016, , Pages 47-53

Abstract
  The purpose of this paper is to introduce the concept of pairwise F-closedness in bitopological spaces. This space contains both of pairwise strongcompactness and pairwise S-closedness and contained in pairwise quasi H-closedness. The characteristics and relationships concerning this new class of spaces ...  Read More

132. Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames

M. S. Asgari; G. Kavian

Volume 02, Issue 01 , Winter 2013, , Pages 51-57

Abstract
  In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the ...  Read More

Linear and multilinear algebra; matrix theory
133. Symbolic computation of the Duggal transform

D. Pappas; V. Katsikis; I. Stanimirovic

Volume 07, Issue 01 , Winter 2018, , Pages 53-62

Abstract
  Following the results of \cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial ...  Read More

Associative rings and algebras
134. On a generalization of central Armendariz rings

M. Sanaei; Sh. Sahebi; H. H. S. Javadi

Volume 08, Issue 01 , Winter 2019, , Pages 53-61

Abstract
  In this paper, some properties of $\alpha$-skew Armendariz and central Armendariz rings have been studied by variety of others. We generalize the notions to central $\alpha$-skew Armendariz rings and investigate their properties. Also, we show that if $\alpha(e)=e$ for each idempotent $e^{2}=e \in R$ ...  Read More

Abstract harmonic analysis
135. Characterization of $\delta$-double derivations on rings and algebras

A. Hosseini

Volume 06, Issue 01 , Winter 2017, , Pages 55-65

Abstract
  The main purpose of this article is to offer some characterizations of $\delta$-double derivations on rings and algebras. To reach this goal, we prove the following theorem:Let $n > 1$ be an integer and let $\mathcal{R}$ be an $n!$-torsion free ring with the identity element $1$. Suppose ...  Read More

General topology
136. On the topological equivalence of some generalized metric spaces

N. TAŞ

Volume 09, Issue 01 , Winter 2020, , Pages 67-74

Abstract
  ‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about ...  Read More

Linear and multilinear algebra; matrix theory
137. Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients

Z. Kalateh Bojdi; S. Ahmadi-Asl; A. Aminataei

Volume 02, Issue 02 , Spring 2013, , Pages 91-103

Abstract
  In this paper, a new and efficient approach is applied for numerical approximation of the linear differential equations with variable coeffcients based on operational matrices with respect to Hermite polynomials. Explicit formulae which express the Hermite expansion coeffcients for the ...  Read More

138. A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems

M. Amirfakhrian; F. Mohammad

Volume 01, Issue 02 , Spring 2012, , Pages 97-113

Abstract
  In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ...  Read More

Abstract harmonic analysis
139. Hereditary properties of amenability modulo an ideal of Banach algebras

H. Rahimi; E. Tahmasebi

Volume 03, Issue 02 , Spring 2014, , Pages 107-114

Abstract
  In this paper we investigate some hereditary properties of amenability modulo an ideal of Banach algebras. We show that if $(e_\alpha)_\alpha$ is a bounded approximate identity modulo I of a Banach algebra A and X is a neo-unital modulo I, then $(e_\alpha)_\alpha$ is a bounded approximate identity ...  Read More

Group theory and generalizations
140. On categories of merotopic, nearness, and filter algebras

V. Gompa

Volume 05, Issue 02 , Spring 2016, , Pages 111-118

Abstract
  We study algebraic properties of categories of Merotopic, Nearness, and Filter Algebras. We show that the category of filter torsion free abelian groups is an epireflective subcategory of the category of filter abelian groups. The forgetful functor from the category of filter rings to filter monoids ...  Read More

General topology
141. Some topological properties of fuzzy strong b-metric spaces

T. Oner

Volume 08, Issue 02 , Spring 2019, , Pages 127-131

Abstract
  ‎In this study‎, ‎we investigate topological properties of fuzzy strong‎ b-metric spaces defined in [13]‎. ‎Firstly‎, ‎we prove Baire's theorem for‎ ‎these spaces‎. ‎Then we define the product of two fuzzy strong b-metric spaces‎ ‎defined ...  Read More

General topology
142. Somewhat-connectedness and somewhat-continuity in the product space

M. S. Bilao; M. A. Labendia

Volume 09, Issue 02 , Spring 2020, , Pages 139-148

Abstract
  In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $\omega_\theta$-connectedness, and the $\omega$-connectedness will be determined. Moreover, the concept of \textit{somewhat}-continuous ...  Read More

Operator theory
143. On the boundedness of almost multipliers on certain Banach algebras

E. Ansari-Piri; M. Shams Youse fi; S. Nouri

Volume 04, Issue 02 , Spring 2015, , Pages 143-152

Abstract
  Almost multiplier is rather a new concept in the theory of almost functions. In this paper we discussion the boundedness of almost multipliers on some special Banach algebras, namely stable algebras. We also defi ne an adjoint and extension for almost multiplier.  Read More

Partial differential equations
144. An implicit finite difference scheme for analyzing the effect of body acceleration on pulsatile blood flow through a stenosed artery

A. Haghighi; N. Aliashrafi; N. Asghary

Volume 06, Issue 02 , Spring 2017, , Pages 147-161

Abstract
  With an aim to investigate the effect of externally imposed body acceleration on two dimensional,pulsatile blood flow through a stenosed artery is under consideration in this article. The blood flow has been assumed to be non-linear, incompressible and fully developed. The artery is assumed to be an ...  Read More

Group theory and generalizations
145. OD-characterization of $S_4(4)$ and its group of automorphisms

P. Nosratpour

Volume 02, Issue 03 , Summer 2013, , Pages 161-166

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

Linear and multilinear algebra; matrix theory
146. Higher rank numerical ranges of rectangular matrix polynomials

Gh. Aghamollaei; M. Zahraei

Volume 03, Issue 03 , Summer 2014, , Pages 173-184

Abstract
  In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated. Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higher rank numerical ranges ...  Read More

Commutative algebra
147. Ring endomorphisms with nil-shifting property

C. A. K. Ahmed; R. T. M. Salim

Volume 08, Issue 03 , Summer 2019, , Pages 191-202

Abstract
  Cohn called a ring $R$ is reversible if whenever $ab = 0,$ then $ba = 0$ for $a,b\in R.$ The reversible property is an important role in noncommutative ring theory‎. ‎Recently‎, ‎Abdul-Jabbar et al‎. ‎studied the reversible ring property on nilpotent elements‎, ‎introducing‎ the ...  Read More

General topology
148. Some topological operators via grills

A. A. Nasef; A. Azzam

Volume 05, Issue 03 , Summer 2016, , Pages 199-204

Abstract
  In this paper, we define and study two operators $\Phi^s$ and $\Psi^s$ with grill. Characterization and basic properties of these operators are obtained. Also, we generalize a grill topological spaces via topology $\tau^s$ induced from operators $\Phi^s$ and $\Psi^s$.  Read More

Combinatorics
149. On the girth of the annihilating-ideal graph of a commutative ring

M. Ahrari; Sh. A. Safari Sabet; B. Amini

Volume 04, Issue 03 , Summer 2015, , Pages 209-216

Abstract
  The annihilating-ideal graph of a commutative ring $R$ is denoted by $AG(R)$, whose vertices are all nonzero ideals of $R$ with nonzero annihilators and two distinct vertices $I$ and $J$ are adjacent if and only if $IJ=0$. In this article, we completely characterize rings $R$ when ...  Read More

Fixed point theory
150. Fixed point theorems for α-ψ-ϕ-contractive integral type mappings

Z. Badehian; M. S. Asgari

Volume 03, Issue 04 , Autumn 2014, , Pages 219-230

Abstract
  In this paper, we introduce a new concept of α-ψ-ϕ-contractive integral type mappings and establish some new fixed point theorems in complete metric spaces.  Read More