Open Access Research

A note on some coupled fixed-point theorems on G-metric spaces

Hui-Sheng Ding1* and Erdal Karapınar2

Author Affiliations

1 College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi, 330022, People’s Republic of China

2 Department of Mathematics, Atilim University, İncek, Ankara, 06836, Turkey

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Journal of Inequalities and Applications 2012, 2012:170 doi:10.1186/1029-242X-2012-170

Published: 31 July 2012

Abstract

The purpose of this paper is to extend some recent coupled fixed-point theorems in the context of G-metric space by essentially different and more natural way. We state some examples to illustrate our results.

MSC: 46N40, 47H10, 54H25, 46T99.

Keywords:
coupled fixed point; coincidence point; mixed g-monotone property; ordered set; G-metric space