Fixed point results of generalized Reich contraction for α-admissible mappings on generalized c-distance in cone b-metric spaces over Banach algebra

Abstract

In this work, we introduce the nations of generalized Banach type contraction, generalized Kannan type contraction and generalized Reich type contraction for α-admissible mappings on generalized c-distance in cone b-metric spaces over Banach algebra. Then, we study the Reich fixed point results, Banach fixed point results and Kannan fixed point results for these type of mappings on generalized c-distance in such spaces. The results obtained extend and generalize several well-known results in literature. We present an example to support our work.