$\phi -$fixed point theorems in $C^{\ast }-$algebra valued partial metric spaces

Abstract

In this present article, we etablish some existence results of $\phi -$fixed point of a mapping in a $C^{\ast }$-algebra valued metric spaces and we deduce some fixed point theorems in $C^{\ast }$-algebra valued partial metric spaces. Non-trivial examples are further provided to support the hypotheses of our results.