FIXED POINT RESULTS OF F -RATIONAL CYCLIC CONTRACTIVE MAPPINGS ON 0-COMPLETE PARTIAL METRIC SPACES

Abstract

Wardowski [19] introduced a new concept of contraction which called F-contraction and proved a fixed point theorem on complete metric space.  Following this direction of research, in this paper, we introduce an F-rational cyclic contraction on partial metric spaces and we present new fixed point results for such cyclic contraction in 0-complete partial metric spaces.  An example is given to illustrate the main result, also an application to integral equation is given to show the usability of our results.