##### Volume 01 (2012)
Research Paper Operator theory
##### Reverses of the first Hermite-Hadamard type inequality for the square operator modulus in Hilbert spaces

S. S. Dragomir

Volume 11, Issue 01 , March 2022, Pages 1-13
##### Abstract
‎Let $\left( H;\left\langle \cdot‎ ,‎\cdot \right\rangle \right)$ be a complex‎ ‎Hilbert space‎. ‎Denote by $\mathcal{B}\left( H\right)$ the Banach $C^{\ast }$-‎algebra of bounded linear operators on $H$‎. ‎For $A\in \mathcal{B}\left(‎H\right)$ we define the ...  Read More

Research Paper Approximations and expansions
##### Best proximity of proximal $\mathcal{F}^*$-weak contraction

M. Salamatbakhsh; R. H. Haghi; K. Fallahi

Volume 11, Issue 01 , March 2022, Pages 15-26
##### Abstract
‎Best proximity point‎ ‎theorems for self-mappings were investigated with different‎ ‎conditions on spaces for contraction mappings‎. ‎In this‎ ‎paper‎, ‎we prove best proximity point theorems for proximal $\mathcal{F}^{*}$-weak contraction mappings‎.   Read More

Research Paper General topology
##### Fuzzy nano $Z$-open sets in fuzzy nano topological spaces

R. Thangammal; M. Saraswathi; A Vadivel; C. John Sundar

Volume 11, Issue 01 , March 2022, Pages 27-38
##### Abstract
‎The purpose of this work is to define and investigate a new class of sets termed fuzzy nano $Z$-open sets and fuzzy nano $Z$-closed sets in fuzzy nano topological spaces‎, ‎as well as their basic properties‎. ‎We also talk about fuzzy nano $Z$-closure and $Z$-interior‎, ...  Read More

Research Paper Fixed point theory
##### The triples of $(v,u,\phi)$-contraction and $(q,p,\phi)$-contraction in $b$-metric spaces and its application

E. L. Ghasab; H. Ebadizadeh; J. Sharafi

Volume 11, Issue 01 , March 2022, Pages 39-46
##### Abstract
‎The aim of this work is to introduce the concepts of $(v‎, ‎u‎, ‎\phi)$-contraction and $(q‎, ‎p‎, ‎\phi)$-contraction‎, ‎and to obtain new results in fixed point theory for four mappings in $b$-metric spaces‎. ‎Finally‎, ‎we have developed ...  Read More

Research Paper Geometry
##### Densities and fluxes of the conservation laws for the Kuramoto-Sivashinsky equation

M. Jafari; Y. Alipour Fakhri; M. Khadivar

Volume 11, Issue 01 , March 2022, Pages 47-54
##### Abstract
‎In this paper‎, ‎the main purpose is to calculate the conservation laws of Kuramoto-Sivashinsky equation using‎ the scaling method‎. ‎Linear algebra and calculus of variations are used in this algorithmic method‎. ‎Also the density of the conservation law is obtained ...  Read More

Research Paper Algebraic topology
##### Topological complexities of finite digital images

M. Is; I. Karaca

Volume 11, Issue 01 , March 2022, Pages 55-68
##### Abstract
‎Digital topological methods are often used in computing the topological complexity of digital images‎. ‎We give new results on the relation between reducibility and digital contractibility in order to determine the topological complexity of a digitally connected finite digital image‎. ...  Read More

Research Paper General algebraic systems
##### Application of algebraic-ring in key exchange protocol

J. Sharafi; H. Daghigh

Volume 11, Issue 01 , March 2022, Pages 69-75
##### Abstract
‎In this article‎, ‎we present a non-interactive key exchange protocol with a faster run time‎, ‎which is based on a Module-LWE‎. ‎The Structure of protocol is designed just by relating the error vectors of both sides‎, ‎without any use of a reconciliation mechanism‎. ...  Read More