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The aim of this paper is to prove coupled coincidence and coupled common fixed point theorems for a mixed g-monotone mapping satisfying nonlinear contractive conditions in the setting of partially ordered G-metric spaces. Present theorems are true generalizations of the recent results of Choudhury and Maity [Math Comput. Modelling 54 (2011), 73–79], and Luong and Thuan [Math. Comput. Modelling 55 (2012), 1601–1609].

Coupled common fixed point theorems in partially ordered G-metric spaces for nonlinear contractions