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

Authors :
Manoj Kumar
Pankaj Kumar
Rajagopalan Ramaswamy
Ola A. Ashour Abdelnaby
Amr Elsonbaty
Stojan Radenović
Source :
Mathematics. 11:1310
Publication Year :
2023
Publisher :
MDPI AG, 2023.

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.

Details

ISSN :
22277390
Volume :
11
Database :
OpenAIRE
Journal :
Mathematics
Accession number :
edsair.doi...........c8c50b43543a98ea4b5f21766f894d09
Full Text :
https://doi.org/10.3390/math11061310