Some fixed point results in ordered dualistic partial metric spaces

Abstract

In this paper, we introduce dominating dualistic contractive mappings and dominating weakly dualistic contractive mappings. We use these contractive mappings to establish two new fixed point theorems in an ordered dualistic partial metric space. These results generalize various comparable results existing in the current literature. We give examples to illustrate and to show usefulness of our results among corresponding fixed point theorems established in a partial metric space and a metric space.