Unique common fixed points for two mappings with Kannan-Chatterjea type conditions on cone metric spaces over Banach algebras without normality

Abstract

In this paper, we discuss the existence problems of points of coincidence and common fixed points for two mappings satisfying generalized Kannan-Chatterjea type conditions   on cone metric spaces over Banach algebras without the assumption of normality and give some unique fixed point theorems. The obtained results generalize and improve the corresponding conclusions in the literature.