Review paper Functional analysis
1. Some properties of Moore$-$Penrose inverse of weighted composition operators

M. Sohrabi

Volume 10, Issue 02 , Spring 2021, Pages 79-91

Abstract
  ‎In this paper‎, ‎we give an explicit formula for the Moore-Penrose inverse of $W$‎, ‎denoted by $W^{\dag}$‎, ‎on $L^2(\Sigma)$‎. ‎As an application‎, ‎we give a characterization for some operator classes that are weaker than $p$-hyponormal with $W^{\dag}$‎. ...  Read More

Research Paper Linear and multilinear algebra; matrix theory
2. A new method for solving coupled complex matrix equations

H. Alimorad; Sh. Abdolmohammadi

Volume 10, Issue 02 , Spring 2021, Pages 93-99

Abstract
  In this paper, a new method for solving coupled complex matrix equations is applied. In this method, we change the problem into a real equation system by using the multiplication properties of complex numbers. This new problem can be solved easily. Numerical examples are given to show the efficiency ...  Read More

Research Paper Numerical analysis
3. Numerical techniques for solving bipolar neutrosophic system of linear equations

M. Gulistan; I. Beg; A. Malik

Volume 10, Issue 02 , Spring 2021, Pages 101-116

Abstract
  In this paper, based on embedding approach three numerical methods namely Richardson, Gauss-Seidel, and successive over relaxation (SOR) have been developed to solve bipolar neutrosophic system of linear equations. To check the accuracy of these newly developed schemes an example with ...  Read More

Research Paper Operator theory
4. Construction of frame relative to $n$-Hilbert space

P. Ghosh; T. K. Samanta

Volume 10, Issue 02 , Spring 2021, Pages 117-130

Abstract
  In this paper, our aim is to introduce the concept of a frame in $n$-Hilbert space and describe some of its properties. We further discuss tight frame relative to $n$-Hilbert space. At the end, we study the relationship between frame and bounded linear operator in $n$-Hilbert space.  Read More

Review paper Commutative algebra
5. A study of defectless and vs-defectless extensions of valued fields

َA. Nikseresht

Volume 10, Issue 02 , Spring 2021, Pages 131-143

Abstract
  The phenomenon of defectless extensions is a classical notion in the framework of valued fields and valued vector spaces in valuation theory. The aim of this paper is to study various results regarding this concept and its applications.  Read More

Research Paper Group theory
6. On the automorphism groups of 2-generator 2-groups of class two

M. Hashemi; M. Polkouei

Volume 10, Issue 02 , Spring 2021, Pages 145-152

Abstract
  In this paper, by using the relations and properties of some classes of two generator 2-groups of nilpotency class two, we find the order of automorphism group of these groups.  Read More

Research Paper Functional analysis
7. Hybrid linesearch algorithm for pseudomonotone equilibrium problem and fixed points of Bregman quasi asymptotically nonexpansive multivalued mappings

M. H. Harbau; B. Ali

Volume 10, Issue 02 , Spring 2021, Pages 153-177

Abstract
  In this paper, we introduce a linesearch algorithm for solving fixed points of Bregman quasi asymptotically nonexpansive multivalued mappings and pseudomonotone equilibrium problem in reflexive Banach space. Using the linesearch method, we prove a strong convergence of the iterative scheme to a common ...  Read More