Fixed point results of F-rational cyclic contractive mappings on 0-complete partial metric spaces

Abstract

© 2018 Forum-Editrice Universitaria Udinese SRL. All rights reserved. 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.