(α − ψ) Meir–Keeler Contractions in Bipolar Metric Spaces-Reference-Cited by-同舟云学术

(α − ψ) Meir–Keeler Contractions in Bipolar Metric Spaces

Published:2023-03-08 Issue:6 Volume:11 Page:1310
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Kumar Manoj¹,Kumar Pankaj¹,Ramaswamy Rajagopalan²^ORCID,Abdelnaby Ola A. Ashour²³,Elsonbaty Amr⁴^ORCID,Radenović Stojan⁵

Affiliation:

1. Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak 124021, Haryana, India

2. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

3. Department of Mathematics, Cairo University, Cairo 12613, Egypt

4. Mathematics and Engineering Physics Department, Mansoura University, Mansoura 35516, Egypt

5. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia

Abstract

In this paper, we introduce the new notion of contravariant (α−ψ) Meir–Keeler contractive mappings by defining α-orbital admissible mappings and covariant Meir–Keeler contraction in bipolar metric spaces. We prove fixed point theorems for these contractions and also provide some corollaries of main results. An example is also be given in support of our main result. In the end, we also solve an integral equation using our result.

Funder

Prince sattam bin Abdulaziz University project

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/6/1310/pdf

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