Some Aspects of b(αn, βn)-hypermetric Spaces over Banach Algebras

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i4.4136

Keywords:

$b_{(\alpha_n, \beta_n)}$-hypermetric spaces, $b_{n}$-metric space, fixed point.

Abstract

In this paper, we give a definition of a b(αn,βn) -hypermetric spaces over Banach algebras. The purpose of this paper is to prove the concept of extension of fixed point theorems in b(αn,βn) -hypermetric spaces over Banach algebras.

Author Biographies

Akbar Dehghan Nezhad, Iran University of Science and Technology

Dr. Akbar Dehghan Nezhad

Associate Professor of Pure Mathematics

Geometry and Topology 

School of Mathematics, Iran University of Science and Technology,

Narmak, Tehran 16846 -13114, Iran.

E-mail: dehghannezhad@iust.ac.ir and akbar.dehghan@gmail.com

Stojan Radenovic, University of Belgrade

Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120
Beograd 35, Serbia

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Published

2021-11-10

How to Cite

Dehghan Nezhad, A., & Radenovic, S. (2021). Some Aspects of b(αn, βn)-hypermetric Spaces over Banach Algebras. European Journal of Pure and Applied Mathematics, 14(4), 1148–1160. https://doi.org/10.29020/nybg.ejpam.v14i4.4136

Issue

Vol. 14 No. 4: (October 2021)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.