Relational Contractions Involving Shifting Distance Functions with Applications to Boundary Value Problems

Abstract

This manuscript includes certain results on fixed points under a generalized contraction involving a pair of shifting distance functions in the framework of metric space endowed with a class of transitive relation. The results presented herein are illustrated by an example. Finally, we apply our result to compute a unique solution of certain first order boundary value problems.

Keywords

• shifting distance functions
• binary relations
• ?-preserving sequence