Some fixed point results for dual contractions of rational type

Abstract

new fixed point results in complete partial metric spaces. The purpose of this paper is to introduce a dual contraction of rational type and to obtain some new fixed point results in dual partial metric spaces for dominating and dominated mappings. These results extend various comparable results existing in literature. Moreover, we give an example that shows the usefulness and effectiveness of these results among corresponding fixed point theorems established in partial metric spaces.

Best Proximity Results on Dualistic Partial Metric Spaces

“…In [12], the framework of dualistic metric spaces is used in order to prove some properties on a pair of adequate mappings. In [13], dual contractions of rational type are studied in the context of dualistic partial metric spaces. Important aspects of fixed point results can be found, for example, in [14] or [15].…”