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Fixed Points on Covariant and Contravariant Maps with an Application

Author

Listed:
  • Rajagopalan Ramaswamy

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

  • Gunaseelan Mani

    (Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India)

  • Arul Joseph Gnanaprakasam

    (Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India)

  • 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, Faculty of Science, Cairo University, Cairo 12613, Egypt)

  • Vuk Stojiljković

    (Department of Mathematics, Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia)

  • Slobodan Radojevic

    (Department of Engineering Mathematics, Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia)

  • Stojan Radenović

    (Department of Engineering Mathematics, Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia)

Abstract

Fixed-point results on covariant maps and contravariant maps in a C ★ -algebra-valued bipolar metric space are proved. Our results generalize and extend some recently obtained results in the existing literature. Our theoretical results in this paper are supported with suitable examples. We have also provided an application to find an analytical solution to the integral equation and the electrical circuit differential equation.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4385-:d:979252
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    References listed on IDEAS

    as
    1. Yaé Ulrich Gaba & Maggie Aphane & Hassen Aydi & Jen-Chih Yao, 2021. "α,BK-Contractions in Bipolar Metric Spaces," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, February.
    2. Gunaseelan Mani & Arul Joseph Gnanaprakasam & Zoran D. Mitrović & Monica-Felicia Bota, 2021. "Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces," Mathematics, MDPI, vol. 9(24), pages 1-14, December.
    3. G. N. V. Kishore & K. P. R. Rao & A. Sombabu & R. V. N. S. Rao, 2019. "Related Results to Hybrid Pair of Mappings and Applications in Bipolar Metric Spaces," Journal of Mathematics, Hindawi, vol. 2019, pages 1-7, May.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. 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.

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