A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces

Abstract

Recently, Wardowski in [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012] introduced the concept of $F$-contraction on complete metric space which is a proper generalization of Banach contraction principle. In the present paper, we proved a related fixed point theorem with $F$-contraction mappings on two complete metric spaces.