G-cone metric Spaces over Banach Algebras and Some Fixed Point Results

Abstract

In this paper, the notion of a G-cone metric space over Banach algebras and the generalized contractive mapping defined on G-cone metric space over Banach algebras are introduced. Some new fixed point results for the maps are proved without the assumption of normality. The results are significant extensions of fixed point results of maps on G-cone metric and metric spaces in literature.