Unified interpolative of a Reich-Rus-Ćirić-type contraction in relational metric space with an application

Abstract

Abstract In this paper, we introduce the notion of unified interpolative contractions of the Reich–Rus–Ćirić type and give some results about the fixed points for these mappings in the framework of relational metric spaces. We present examples where the results of some previous research are not relevant. Also, we apply our results to solving problems related to nonlinear matrix equations, emphasizing their practical importance.

Keywords

• Unified interpolative Reich–Rus–Ćirić contraction
• R $\mathcal{R}$ -admissible
• Relational metric space