Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras

Abstract

In this paper, we introduce the concept of a Pbr-cone metric space over Banach algebras and prove some fixed point results under various contractive mappings in such a space. Some examples are given to elucidate the results. Our results extend and generalize many existing results in the literature.