Dualistic contractions of rational type and fixed point theorems

Abstract

In this paper, we introduce a dualistic contraction of rational type and use it to obtain some new fixed point results in dualistic partial metric spaces for dominating and dominated mappings. These results extend various comparable results existing in literature from set of positive real numbers to set of real numbers. Moreover, we give an example that shows the usefulness and effectiveness of these results among corresponding fixed point theorems established in partial metric spaces (nonnegative real numbers).