Research Article

Fixed point approach for relation-theoretic contractive type mappings in F-metric spaces with application to boundary value problems

Abstract: The aim of this article is to introduce the notion of F-metric spaces and establish some fixed point results for relation-theoretic contractive type mapping in a complete F-metric space. These contributions extend the existing literature on relation-theoretic mapping and fixed point theory. Through illustrative numerical examples, we showcase the practical applicability of the theoretical findings. Also, we explore as an application, the solution for two points boundary value problems.