On the α − ψ -Contractive Mappings in C ∗ -Algebra Valued b-Metric Spaces and Fixed Point Theorems

Abstract

In this paper, for a unital $C^{\ast }$ -algebra A, we introduce a version of $\alpha$ - $\psi$ -contractive mappings in $C^{\ast }$ -algebra valued b-metric spaces, and we prove some Banach fixed point theorems and give some examples to illustrate our results.