This present paper extends a version of α−ψ−contraction in C∗-algebra valued rectangular b-metric spaces and establishing the existence and uniqueness of fixed point for them. Non-trivial examples are further provided to support the hypotheses of our results.

In this present article, we etablish some existence results of ϕ−fixed point of a mapping in a C * -algebra valued metric spaces and we deduce some fixed point theorems in C * -algebra valued partial metric spaces. Non-trivial examples are further provided to support the hypotheses of our results.