In this paper, we put forward the notion of F-weak expansive mapping and simultaneously prove some fixed point result specifically in relation theoretic metric space. In addition, our result generalizes one of the results obtained by [Jaroslaw Górnicki (2016). Fixed point theorems for F-expanding mappings, Fixed Point Theory and Applications, 2017(1)]. Also, some illustration is provided which further substantiates the result proved herein.

<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>