FIXED POINT RESULTS IN C*-ALGEBRA-VALUED GENERALIZED METRIC SPACES WITH APPLICATIONS

Abstract

In this paper, we investigate new fixed point theorems within the framework of C*-algebra-valued generalized metric spaces. We extend the concepts of the Hardy-Rogerscontraction principle as well as those of Ćirić-Jachymski-Matkowski in these spaces. Our results improve and extend some recent works available in the literature. Several non-trivial examples are given to illustrate our results. As applications, we discuss the existence andthe uniqueness of solution of an integral equation and of an operator equation.