Research Paper Operator theory
1. Coupled fixed point results for $T$-contractions on $\mathcal{F}$-metric spaces and an application

H. Majani; R. Zaer Soleimani; Javad Izadi

Volume 10, Issue 01 , Winter 2021, Pages 1-10

Abstract
  The main purpose of this article is to introduce the concept of $T$-contraction type mappings in the function weighed metric spaces and to obtain some coupled fixed points theorems in this framework. Also, an example and an application of the existence of a solution of a system of nonlinear integral ...  Read More

Research Paper Algebraic topology
2. Conjectures on the anti-automorphism of Z-basis of the Steenrod algebra

T. Vergili; I. Karaca

Volume 10, Issue 01 , Winter 2021, Pages 11-18

Abstract
  In this paper, we compute the images  of some of the $Z$-basis elements under the anti-automorphism map $\chi$ of the mod 2 Steenrod algebra $\mathcal{A}_2$ and propose some conjectures based on our computations.  Read More

Research Paper Functional analysis
3. A new implicit iteration process for approximating common fixed points of $\alpha$-demicontraction semigroup

A. E. Ofem; D. I. Igbokwe

Volume 10, Issue 01 , Winter 2021, Pages 19-34

Abstract
  It is our purpose in this paper to introduce the concept of $\alpha$-demicontractive semigroup. Also, we construct a new implicit iterative scheme for approximating the common fixed points of $\alpha$-demicontractive semigroup. We prove strong convergence of our new iterative scheme to the common fixed ...  Read More

Research Paper Algebraic topology
4. Topics on a class of pseudo-Michael algebras

A. Naziri-Kordkandi

Volume 10, Issue 01 , Winter 2021, Pages 35-41

Abstract
  In this paper, we first generalize the Gelfand-Mazur theorem for pseudo-Michael $Q$-algebras. Then some applications of the spectral mapping theorem are also investigated in $k$-Banach algebras.  Read More

Research Paper Linear and multilinear algebra; matrix theory
5. Characterization of matrices using m-projectors and singular value decomposition in Minkowski space

M. S. Lone; T. H. Khan

Volume 10, Issue 01 , Winter 2021, Pages 43-58

Abstract
  In this paper we characterize different classes of matrices in Minkowski space $\mathcal{M}$ by generalizing the singular value decomposition in terms of \emph{m}-projectors. Furthermore, we establish results on the relation between the range spaces and rank of the range disjoint matrices by utilizing ...  Read More

Research Paper Linear and multilinear algebra; matrix theory
6. On computing of integer positive powers for one type of tridiagonal and antitridiagonal matrices of even order

M. Beiranvand; M. Ghasemi Kamalvand

Volume 10, Issue 01 , Winter 2021, Pages 59-69

Abstract
  In this paper, firstly we derive a general expression for the $m$th power ($m\in\mathbb{N}$)  for one type of tridiagonal matrices of even order.  Secondly we present a method  for computing integer powers of the  antitridiagonal  matrices that is corresponding with these matrices. ...  Read More

Research Paper Combinatorics, Graph theory
7. Domination number of complements of functigraphs

A. Shaminejad; E. Vatandoost

Volume 10, Issue 01 , Winter 2021, Pages 71-78

Abstract
  Let $G=(V, E)$ be a simple graph. A subset $S \subseteq V(G)$ is a \textit{dominating set} of $G$ if every vertex in $V(G) \setminus S$ is adjacent to at least one vertex in $S.$ The \textit{domination number} of graph $G,$ denoted by $\gamma(G),$ is the minimum size of a dominating set of vertices $V(G).$ ...  Read More