Related fixed point results via C*-class functions on C*-algebra-valued Gb-metric spaces

Abstract

We initiate the concept of C*-algebra-valued G(b)-metric spaces. We study some basic properties of such spaces and then prove some fixed point theorems for Banach and Kannan types via C-*-class functions. Also, some nontrivial examples are presented to ensure the effectiveness and applicability of the obtained results.