Some Fixed Point Results for Interpolative Contractive Mappings in $C^{\ast}$-algebra valued metric spaces

TL;DR

This paper introduces a new class of interpolative contraction mappings in $C^{\

Contribution

It establishes fixed point and common fixed point theorems for these mappings in $C^{\

Findings

Existence of fixed points for interpolative contraction mappings.

Fixed point results for Kannan-Riech type contractions.

Extension of fixed point theory in $C^{\

Abstract

In this paper, we present a new concept of interpolative contraction mappings in $C^{\ast}$-algebra valued complete metric space and we prove the existence of fixed points and common fixed points for Kannan-Riech type contractions.