Open Access Research

Coupled fixed point theorems on partially ordered G-metric spaces

Erdal Karapınar1, Poom Kumam2,3 and Inci M Erhan1*

Author Affiliations

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

2 Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand

3 Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada

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Fixed Point Theory and Applications 2012, 2012:174 doi:10.1186/1687-1812-2012-174

Published: 11 October 2012

Abstract

The purpose of this paper is to extend some recent coupled fixed point theorems in the context of partially ordered G-metric spaces in a virtually different and more natural way.

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

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