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Zbl 1237.54043
Aydi, Hassen; Damjanović, Boško; Samet, Bessem; Shatanawi, Wasfi
Coupled fixed point theorems for nonlinear contractions in partially ordered $G$-metric spaces. (English)
[J] Math. Comput. Modelling 54, No. 9-10, 2443-2450 (2011). ISSN 0895-7177

Summary: We prove coupled coincidence and coupled common fixed point theorems for mixed $g$-monotone mappings satisfying nonlinear contraction conditions in partially ordered $G$-metric spaces. The theorems presented are generalizations of the very recent results of {\it B. S. Choudhury} and {\it P. Maity} [Math. Comput. Modelling 54, No.~1--2, 73--79 (2011; Zbl 1225.54016)].

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
54F05 Ordered topological spaces
54E40 Special maps on metric spaces

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

Citations: Zbl 1225.54016

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