Open Access Research

On coupled fixed point theorems on partially ordered G-metric spaces

Erdal Karapınar1, Billûr Kaymakçalan2* and Kenan Taş2

Author Affiliations

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

2 Department of Mathematics and Computer Science, Çankaya University, Ankara, Turkey

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Journal of Inequalities and Applications 2012, 2012:200 doi:10.1186/1029-242X-2012-200

Published: 7 September 2012

Abstract

In this manuscript, we extend, generalize and enrich some recent coupled fixed point theorems in the framework of partially ordered G-metric spaces in a way that is essentially more natural.

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

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