On Two Banach-Type Fixed Points in Bipolar Metric Spaces-Reference-Cited by-同舟云学术

On Two Banach-Type Fixed Points in Bipolar Metric Spaces

Published:2021-08-12 Issue: Volume:2021 Page:1-10
ISSN:1687-0409
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Gaba Yaé Ulrich¹²³^ORCID,Aphane Maggie⁴^ORCID,Sihag Vizender⁵

Affiliation:

1. Quantum Leap Africa (QLA), AIMS Rwanda Centre, Remera Sector KN 3, Kigali, Rwanda

2. Institut de Mathématiques et de Sciences Physiques (IMSP/UAC) Laboratoire de Topologie Fondamentale, Computationnelle et Leurs Applications (Lab-ToFoCApp), BP 613 Porto-Novo, Benin

3. African Center for Advanced Studies (ACAS), P.O. Box 4477, Yaoundé, Cameroon

4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

5. DDE, G.J.U.S.T, Hisar, 125001 Haryana, India

Abstract

In this article, we propose two Banach-type fixed point theorems on bipolar metric spaces. More specifically, we look at covariant maps between bipolar metric spaces and consider iterates of the map involved. We also propose a generalization of the Banach fixed point result via Caristi-type arguments.

Funder

Carnegie Corporation of New York

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2021/4846877.pdf

Reference16 articles.

1. Bipolar metric spaces and some fixed point theorems

2. Coupled fixed point theorems on bipolar metric spaces;A. Mutlu;European journal of pure and applied Mathematics,2017

3. Fixed point theorems for multivalued mappings on bipolar metric spaces