A Relation-Theoretic Metrical Fixed Point Theorem for Rational Type Contraction Mapping with an Application

Abstract

In this article, we discuss the relation theoretic aspect of rational type contractive mapping to obtain fixed point results in a complete metric space under arbitrary binary relation. Furthermore, we provide an application to find a solution to a non-linear integral equation.

Keywords

• binary relation
• ℜ-completeness
• rational contraction