##### Volume 01 (2012)
Research Paper General topology
##### 1. On some properties of the hyperspace $\theta (X)$ and the study of the space $\downarrow\theta C(X)$

R. Sen

Volume 09, Issue 03 , Summer 2020, Pages 185-192

##### Abstract
The aim of the paper is to first investigate some properties of the hyperspace $\theta(X)$, and then in the next article it deals with some detailed study of a special type of subspace $\downarrow\theta C(X)$ of the space $\theta (X\times \mathbb I)$.  Read More

Research Paper Combinatorics
##### 2. Domination parameters of Cayley graphs of some groups

F. Ramezani

Volume 09, Issue 03 , Summer 2020, Pages 193-200

##### Abstract
‎In this paper‎, ‎we investigate domination number‎, ‎$\gamma$‎, ‎as well‎ ‎as signed domination number‎, ‎$\gamma_{_S}$‎, ‎of all cubic Cayley‎ ‎graphs of cyclic and quaternion groups‎. ‎In addition‎, ‎we show that‎ ‎the ...  Read More

Research Paper General topology
##### 3. On weakly e*-open and weakly e*-closed Functions

M. Özkoc; S. Erdem

Volume 09, Issue 03 , Summer 2020, Pages 201-211

##### Abstract
The aim of this paper is to introduce and study two new classes of functions called weakly $e^{*}$-open functions and weakly $e^{*}$-closed functions via the concept of $e^{*}$-open set defined by Ekici \cite{erd1}. The notions of weakly $e^{*}$-open and weakly $e^{*}$-closed functions ...  Read More

Research Paper Fixed point theory
##### 4. $S$-metric and fixed point theorem

M. Simkhah Asil; Sh. Sedghi; N. Shobe; Z. Mitrovic

Volume 09, Issue 03 , Summer 2020, Pages 213-220

##### Abstract
In this paper, we prove a general fixed point theorem in $\textrm{S}$-metric spaces for maps satisfying an implicit relation on complete metric spaces. As applications, we get many analogues of fixed point theorems in metric spaces for $\textrm{S}$-metric spaces.  Read More

Research Paper Functional analysis
##### 5. Some improvements of numerical radius inequalities via Specht’s ratio

Y. Khatib; M. Hassani

Volume 09, Issue 03 , Summer 2020, Pages 221-230

##### Abstract
We obtain some inequalities related to the powers of numerical radius inequalities of Hilbert space operators. Some results that employ the Hermite-Hadamard inequality for vectors in normed linear spaces are also obtained. We improve and generalize some inequalities with respect to ...  Read More

Research Paper Commutative algebra
##### 6. Algebraic and topological aspects of quasi-prime ideals

Volume 09, Issue 03 , Summer 2020, Pages 231-236

##### Abstract
In this paper, we define the new notion of quasi-prime ideal which generalizes at once both prime ideal and primary ideal notions. Then a natural topology on the set of quasi-prime ideals of a ring is introduced which admits the Zariski topology as a subspace topology. The basic properties ...  Read More

Research Paper
##### 7. Approximate $n-$ideal amenability of module extension Banach algebras

Let $\mathcal{A}$ be a Banach algebra and $X$ be a Banach $\mathcal{A}-$bimodule. We study the notion of approximate $n-$ideal amenability for module extension Banach algebras $\mathcal{A}\oplus X$. First, we describe the structure of ideals of this kind of algebras and we present ...  Read More