Boyd and Wong Type Fixed Point Theorems in Partial Metric Spaces

Abstract

In this paper, we present fixed point results for Boyd and Wong type [3] generalized contractive condition in partial metric spaces. In particular, we generalize the fixed point results due to Akkouchi [1] in complete partial metric spaces in which the continuity requirement for a mapping is relaxed to obtain the results. In addition to that we present a common fixed point theorem for a pair of maps. An illustrative example is also constructed to exhibit the results.

Keywords

• metric spaces
• partial metric spaces
• fixed point
• boyd and wong contractive condition
• 47h10
• 54h25