Unique Common Fixed Points for Mixed Contractive Mappings on Non-Normal Cone Metric Spaces over Banach Algebras

Abstract

In this paper, we discuss and obtain some new unique  common fixed point theorems for two mappings satisfying Kannan type mixed contractive conditions and  Chatterjea type mixed contractive conditions respectively  on cone metric spaces over Banach algebras without the assumption of normality and give some generalizations of Kannan type and Chatterjea type fixed point theorems.