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Journal of Function Spaces
Volume 2016, Article ID 7529523, 9 pages
Research Article

On Coupled Common Fixed Point Theorems for Nonlinear Contractions with the Mixed Weakly Monotone Property in Partially Ordered -Metric Spaces

1School of Polytechnics, Sanya University, Sanya, Hainan 572000, China
2Department of Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China
3Sichuan Province University Key Laboratory of Bridge Non-Destruction Detecting and Engineering Computing, Zigong, Sichuan 643000, China

Received 18 November 2015; Accepted 29 December 2015

Academic Editor: Hugo Leiva

Copyright © 2016 Mi Zhou and Xiao-Lan Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The main aim of this paper is to establish some coupled common fixed point theorems under a Geraghty-type contraction using mixed weakly monotone property in partially ordered -metric space. Also, we give some sufficient conditions for the uniqueness of a coupled common fixed point. Some examples are provided to demonstrate the validity of our results.