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Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations

Author

Listed:
  • Faizan Ahmad Khan
  • Fahad M. Alamrani
  • Esmail Alshaban
  • Ebrahem A. Algehyne
  • Musaad S. Aldhabani
  • Dengfeng Lu

Abstract

The objective of the paper is to present some fixed point results verifying a relational contraction utilizing certain shifting distance functions and via a generalized class of transitive relations. Our outcomes sharpen, extend, modify, and enrich many well-known results. To demonstrate the utility of our results, several examples are provided. We employed our results finding out a unique solution of second-order ordinary differential equations prescribed with specific boundary conditions.

Suggested Citation

  • Faizan Ahmad Khan & Fahad M. Alamrani & Esmail Alshaban & Ebrahem A. Algehyne & Musaad S. Aldhabani & Dengfeng Lu, 2024. "Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations," Journal of Mathematics, Hindawi, vol. 2024, pages 1-9, October.
    • Handle: RePEc:hin:jjmath:4740232
    DOI: 10.1155/2024/4740232
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