Some Fixed Point Theorem For Γ- Contraction In A Complete Partial B-Metric Spaces

Abstract

Matthews introduced the concepts of partial metric spaces and proved the Banach fixed point theorem in complete partial metric spaces.

Dukic, Kadelburg, and Radenovic proved fixed point theorems for Geraghty-type mappings in complete partial metric spaces.

Chang IL Kim and Giljun Han proved fixed point for some contractive mapping in a complete partial metric space.

In this paper, we generalize the concept of Chang and Giljun et.al. in the space of partial b-metric space.