Fixed Point Results Via Ψ-Contraction in C*- Algebra Valued Generalized Metric Spaces With Applications

Abstract

In this manuscript, using the concept of C*-algebra valued generalized metric spaces, fixed point results for self mappings with contractive conditions related to a nondecreasing function psi : [0, +infinity) -> [0, +infinity) such that lim(m ->infinity)psi(m)(s) = 0, for all s is an element of (0, +infinity), are established. As an application, uniqueness and existence result for integral equation are also provided.