Fixed Points of Generalized Kannan Type Alpha-Admissible Mappings in Cone Metric Spaces with Banach Algebra

Abstract

In this paper, we introduce the generalized Kannan type alpha-admissible mappings in the setting of cone metric spaces equipped with Banach algebra. Our results generalize and extend the fixed point result for Kannan type mappings in metric and cone metric spaces. An example is presented which illustrates our main result.