Journal of Function Spaces (Jan 2025)
Relation-Theoretic Contraction via a Triplet of Auxiliary Functions and an Application to Ordinary Differential Equations
Abstract
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.