Coupled Fixed Point Results for (ψ, Φ)-Weakly Contractive Condition in Ordered Partial Metric Spaces

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Abstract

In this paper, we prove some coupled fixed point theorems involving a (psi, phi)-weakly contractive condition for mapping having the mixed monotone property in ordered partial metric spaces. These results are analogous to theorems of Van Luong and Xuan Thuan (2011) [10] on the class of ordered partial metric spaces. Also, an application is given to support our results. (C) 2011 Elsevier Ltd. All rights reserved.

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KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; , Hassen/0000-0003-3896-3809; Shatanawi, Wasfi/0000-0001-7492-4933

Keywords

Partially ordered, Partial metrics, Coupled fixed point, Mixed monotone property, Common coupled fixed point, G-metric space, Ordered set, Mixed monotone property, Coupled coincidence point, Partial metrics, Coupled fixed point, Partially ordered

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