Fixed point theorems for f-contractions on closed ball in partial metric spaces

Abstract

In this paper, we present new fixed point theorems for Kannan type Fp-contraction and Kannan type (α, η, GFp)-contraction on a closed ball contained in a complete partial metric space. Some comparative examples are constructed to illustrate the significance of these results. Our results provide substantial generalizations and improvements of several well known results existing in the comparable literature.