The Kannan’s Fixed Point Theorem in a Cone Hexagonal Metric Spaces
Abba Auwalu *
Department of Mathematics, Near East University, Nicosia - TRNC, Mersin 10, Turkey and Department of Mathematics, Sule Lamido University, PMB 048, Kafin Hausa, Jigawa State, Nigeria
Evren Hınc¸al
Department of Mathematics, Near East University, Nicosia - TRNC, Mersin 10, Turkey
*Author to whom correspondence should be addressed.
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.
Keywords: Cone hexagonal metric space, fixed point, iterative sequence, Kannan’s mapping