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Suzuki–Ćirić-Type Nonlinear Contractions Employing a Locally ζ -Transitive Binary Relation with Applications to Boundary Value Problems

Author

Listed:
  • Doaa Filali

    (Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia)

  • Faizan Ahmad Khan

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

Abstract

This article is devoted to enhancing a class of generalized Suzuki-type nonlinear contractions following Pant to a class of Suzuki–Ćirić-type nonlinear contractions via comparison functions via a locally ζ -transitive relation and implemented the same to ascertain certain fixed-point results. The outcomes presented herewith unify and generalize a few existing findings. An illustrative examples is offered to explain our findings. Our outcomes assist us in figuring out the unique solution to a boundary value problem.

Suggested Citation

  • Doaa Filali & Faizan Ahmad Khan, 2024. "Suzuki–Ćirić-Type Nonlinear Contractions Employing a Locally ζ -Transitive Binary Relation with Applications to Boundary Value Problems," Mathematics, MDPI, vol. 12(13), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:2058-:d:1426607
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