Fixed points and its applications in C*- algebra valued partial metric space

Abstract

We familiarise with the concepts of contractiveness and expansiveness in a C*- algebra valued partial metric space and create an environment for the existence of fixed point in it. We solve an integral equation and an operator type equation as an application of main result. Further we give some examples to elaborate C*- algebra valued partial metric space and show that there exist situations when a partial metric result can be applied, while the standard metric one cannot.