Journal of Function Spaces (Jan 2025)

Relation-Theoretic Contraction via a Triplet of Auxiliary Functions and an Application to Ordinary Differential Equations

  • Shahbaz Ali,
  • Qamrul Haque Khan,
  • Majed Albaity,
  • Cenap Ozel

DOI
https://doi.org/10.1155/jofs/5001063
Journal volume & issue
Vol. 2025

Abstract

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In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally J-transitive binary relation. We also present an example to illustrate the suitability of our results and discuss some applications to first and second order ordinary differential equations with periodic boundary value problems, obtaining the existence and uniqueness of a lower solution.