Some fixed point theorems in C*-algebra valued partial metric spaces

TLDR

The concept of ψ-fixed point is introduced and some fixed point results on C*-algebra valued metric spaces are given and analogous results on C*-algebra valued partial metric spaces are deduced.

Abstract

In this present paper, we introduce the concept of ψ-fixed point and we give some fixed point results on C*-algebra valued metric spaces. Then, we deduce analogous results on C*-algebra valued partial metric spaces.