Volume 10 (2021)
Volume 09 (2020)
Volume 08 (2019)
Volume 07 (2018)
Volume 06 (2017)
Volume 05 (2016)
Volume 04 (2015)
Volume 03 (2014)
Volume 02 (2013)
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

http://dx.doi.org/10.30495/jlta.2022.688390

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

http://dx.doi.org/10.30495/jlta.2022.1949868.1459

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

http://dx.doi.org/10.30495/jlta.2022.1950709.1460

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

http://dx.doi.org/10.30495/jlta.2022.1951465.1463

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

http://dx.doi.org/10.30495/jlta.2022.1951652.1466

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

http://dx.doi.org/10.30495/jlta.2022.690314

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

http://dx.doi.org/10.30495/jlta.2022.690518

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