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Research Article Open access CC BY 4.0

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

Abba Auwalu, Evren Hınc¸al

Advances in Research · pp. 1–9 · Published 8 Apr 2016

10.9734/AIR/2016/25272

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.

Cone hexagonal metric space fixed point iterative sequence Kannan’s mapping

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