IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i22p4385-d979252.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/22/4385/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/22/4385/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    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

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Badriah Alamri, 2023. "Solving Integral Equation and Homotopy Result via Fixed Point Method," Mathematics, MDPI, vol. 11(21), pages 1-19, October.
    2. Badriah Alamri, 2023. "Fixed Point Results in F -Bipolar Metric Spaces with Applications," Mathematics, MDPI, vol. 11(10), pages 1-14, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4385-:d:979252. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.