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Coupled fixed point theorems for nonlinear contractions in partially ordered $$G$$-metric spaces. (English) Zbl 1237.54043
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 B. S. Choudhury and P. Maity [Math. Comput. Modelling 54, No. 1–2, 73–79 (2011; Zbl 1225.54016)].

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces 54E40 Special maps on metric spaces
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