$ C^* $-algebra valued $ \mathcal{R} $-metric space and fixed point theorems

Abstract

<abstract><p>In the present manuscript, notions of $ C^* $-algebra valued $ \mathcal{R} $-metric space and $ C^* $-algebra valued $ \mathcal{R} $-contractive map are introduced along with some fixed point results which in turn generalizes and unifies certain well known results in the existing literature. Further, in support of the obtained results some illustrative examples have been provided.</p></abstract>