Fixed points of círíc type ordered F-contractions on partial metric spaces

Abstract

In this paper, by considering both F-contraction and fixed point results on ordered partial metric spaces, we introduce a pair of Círíc type ordered F-contractions on an ordered partial metric space. Then we give a common fixed point theorem for such contractions. We give an example showing that our main theorem is applicable, but both results of Durmaz et al. [11] and Wardowski [18] are not. We also discuss that this fixed point result can be applied to show the existence of solution of an integral equation.