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

Faizan Ahmad Khan, Fahad M. Alamrani, Esmail Alshaban, Ebrahem A. Algehyne, Musaad S. Aldhabani and Dengfeng Lu

Journal of Mathematics, 2024, vol. 2024, 1-9

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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4740232

DOI: 10.1155/2024/4740232

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