The Kannan’s Fixed Point Theorem in a Cone Hexagonal Metric Spaces

Abstract

In this paper, we prove Kannan's fixed point theorem in a cone hexagonal metric space. Our result extend and improve the recent result of Jleli and Samet (The Kannan's fixed point theorem in a cone rectangular metric space, J. Nonlinear Sci. Appl., 2 (2009), 161 - 167), and many existing results in the literature. Example is given showing that our result are proper extensions of the existing ones.