Relation theoretic contraction results in F-metric spaces

Abstract

Jleli and Samet in [M. Jleli, B. Samet, J. Fixed Point Theory Appl., \(\textbf{20}\) (2018), 20 pages] introduced a new metric space named as \(\mathcal{F}\)-metric space. They presented a new version of the Banach contraction principle in the context of this generalized metric spaces. The aim of this article is to define relation theoretic contraction and prove some generalized fixed point theorems in \(\mathcal{F}\)-metric spaces. Our results extend, generalize, and unify several known results in the literature.