IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i6p906-d1608014.html
   My bibliography  Save this article

Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value Problems

Author

Listed:
  • Esmail Alshaban

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Adel Alatawi

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Fahad M. Alamrani

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Ahmed Alamer

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Naif N. Alrshidi

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Faizan Ahmad Khan

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

Abstract

In this article, we prove certain fixed point findings for a nonlinear almost contraction map of the Pant type in a metric space endowed with a binary relation. The outcomes presented here expand, develop, enhance, and consolidate several existing findings. With a view to arguing for our findings, we furnish a few examples. As an application of our outcomes, we discuss the existence of a unique solution of a boundary value problem of the first order.

Suggested Citation

  • Esmail Alshaban & Adel Alatawi & Fahad M. Alamrani & Ahmed Alamer & Naif N. Alrshidi & Faizan Ahmad Khan, 2025. "Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value Problems," Mathematics, MDPI, vol. 13(6), pages 1-16, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:6:p:906-:d:1608014
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/6/906/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/6/906/
    Download Restriction: no
    ---><---

    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:13:y:2025:i:6:p:906-:d:1608014. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.