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http://dx.doi.org/10.5666/KMJ.2014.54.3.485

A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces  

Lee, Hosoo (College of Basic Studies, Yeungnam University)
Publication Information
Kyungpook Mathematical Journal / v.54, no.3, 2014 , pp. 485-500 More about this Journal
Abstract
In this paper, we establish coupled fixed point theorems for mixed monotone mappings satisfying nonlinear contraction involving a pair of altering distance functions in ordered G-metric spaces. Via presented theorems we extend and generalize the results of Harjani et al. [J. Harjani, B. L$\acute{o}$pez and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 1749-1760] and Choudhury and Maity [B.S. Choudhury and P. Maity, Coupled fixed point results in generalized metric spaces. Math. Comput. Model. 54 (2011), 73-79].
Keywords
Fixed point; mixed monotone property; G-metric space;
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