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Research Article Open access CC BY 4.0

A Note on Banach Contraction Mapping principle in Cone Hexagonal Metric Space

Abba Auwalu, Evren Hınçal

Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 13 Apr 2016

10.9734/BJMCS/2016/25172

Abstract

In this paper, we prove fixed point theorem of a self mapping in non-normal cone hexagonal metric spaces. Our result extend and improve some recent results of Azam et al., [Banach contraction principle on cone rectangular metric spaces, Applicable Analysis and Discrete Mathematics, 3 (2), 236 - 241, 2009], Rashwan and Saleh [Some Fixed Point Theorems in Cone Rectangular Metric Spaces, Mathematica Aeterna, 2 (6): 573 - 587, 2012], Garg and Agarwal, [Banach Contraction Principle on Cone Pentagonal Metric Space, J. Adv. Studies Topol., 3 (1), 12 - 18, 2012], Garg, [Banach Contraction Principle on Cone Hexagonal Metric Space, Ultra Scientist, 26 (1), 97 - 103, 2014], and others.

Cone metric space fixed point Banach contraction mapping principle.

Cited by 3

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KANNAN--TYPE FIXED POINT THEOREM IN CONE PENTAGONAL METRIC SPACES

A. Auwalu, E. Hincal · International Journal of Pure and Apllied Mathematics · 2016

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