Existence of common fixed points of improved F-contraction on partial metric spaces

Abstract

Following the approach of F-contraction introduced byWardowski [13], in this paper, we introduce improved F-contraction of rational type in the framework of partial metric spaces and used it to obtain a common fixed point theorem for a pair of self mappings. We show, through ex- ample, that improved F-contraction is more general than F- contrac- tion and guarantees fixed points in those cases where F-contraction fails to provide. Moreover, we apply this fixed point result to show the existence of common solution of the system of integral equations.