Geodesic
A coupled coincidence point theorem in partially ordered metric spaces
Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 103 .

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We prove a coupled coincidence point theorem in partially ordered metric spaces for mappings $F: X \times X \rightarrow X$ having the $g$-mixed monotone property. The main result of this paper extends and improves the corresponding results in [6][10][8][4]. Some examples are given to illustrate our work.
Classification : 54H25 47H10
Keywords: Coupled coincidence point, mixed monotone, O-compatible mappings, partially ordered set. 
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     title = {A coupled coincidence point theorem in partially ordered metric spaces},
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Nguyen V. Can; Vasile Berinde; Nguyen V. Luong; Nguyen X. Thuan. A coupled coincidence point theorem in partially ordered metric spaces. Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 103 . http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a6/