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

Manoj Kumar, Pankaj Kumar, Rajagopalan Ramaswamy (), Ola A. Ashour Abdelnaby, Amr Elsonbaty and Stojan Radenović
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Manoj Kumar: Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak 124021, Haryana, India
Pankaj Kumar: Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak 124021, Haryana, India
Rajagopalan Ramaswamy: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Ola A. Ashour Abdelnaby: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Amr Elsonbaty: Mathematics and Engineering Physics Department, Mansoura University, Mansoura 35516, Egypt
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia

Mathematics, 2023, vol. 11, issue 6, 1-14

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.

Keywords: fixed point; ( ? ? ? ) Meir–Keeler contractive mappings; covariant and contravariant mappings; bipolar metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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