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

Author

Listed:
  • 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
    Department of Mathematics, Cairo University, Cairo 12613, Egypt)

  • 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)

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.

Suggested Citation

  • Manoj Kumar & Pankaj Kumar & Rajagopalan Ramaswamy & Ola A. Ashour Abdelnaby & Amr Elsonbaty & Stojan Radenović, 2023. "( α − ψ ) Meir–Keeler Contractions in Bipolar Metric Spaces," Mathematics, MDPI, vol. 11(6), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1310-:d:1091630
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    References listed on IDEAS

    as
    1. Rajagopalan Ramaswamy & Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ola A. Ashour Abdelnaby & Vuk Stojiljković & Slobodan Radojevic & Stojan Radenović, 2022. "Fixed Points on Covariant and Contravariant Maps with an Application," Mathematics, MDPI, vol. 10(22), pages 1-16, November.
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