Open Access Research

Coupled fixed point of generalized contractive mappings on partially ordered G-metric spaces

Mujahid Abbas1, Wutiphol Sintunavarat2 and Poom Kumam2*

Author Affiliations

1 Department of Mathematics, Lahore University of Management Sciences, Lahore 54792, Pakistan

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

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Fixed Point Theory and Applications 2012, 2012:31 doi:10.1186/1687-1812-2012-31

Published: 29 February 2012

Abstract

Coupled fixed point results for nonlinear contraction mappings having a mixed monotone property in a partially ordered G-metric space due to Choudhury and Maity are extended and unified. We also provide example to validate the main results in this article.

Mathematics Subject classification (2000): 47H10; 54H25.

Keywords:
coupled fixed points; mixed monotone property; G-metric spaces; partially order set