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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
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    References listed on IDEAS

    as
    1. Salma Aljawi & Izhar Uddin, 2024. "Relation-Theoretic Nonlinear Almost Contractions with an Application to Boundary Value Problems," Mathematics, MDPI, vol. 12(9), pages 1-10, April.
    2. Ebrahem Ateatullah Algehyne & Musaad Sabih Aldhabani & Faizan Ahmad Khan, 2023. "Relational Contractions Involving (c)-Comparison Functions with Applications to Boundary Value Problems," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
    Full references (including those not matched with items on IDEAS)

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