Geodesic
Coupled Fixed Point Theorems for Monotone Mappings in Partially Ordered Metric Spaces
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 2, p. 249 .

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In this paper, by reducing of coincidence and coupled xed point results in ordered metric spaces to the respective results for mappings with one variable, some recent results established by T. G. Bhaskar and V. Lakshmikantham [T. G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65 (2006) 379-1393], V. Lakshmikantham and L. Ćirić [V. Lakshmikantham, L. Ćirić, Coupled xed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Analysis 70 (2009) 4341{4349] are extended, generalized, unified and improved by using mappings with monotonicity instead of with mixed monotone property. Moreover, two examples are given to support these improvements.
Classification : 47H10 54H25
Keywords: coincidence and coupled xed point, the g-monotone property, partially ordered set. 
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     author = {Stojan Radenovi\'c},
     title = {Coupled {Fixed} {Point} {Theorems} for {Monotone} {Mappings} in {Partially} {Ordered} {Metric} {Spaces}},
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Stojan Radenović. Coupled Fixed Point Theorems for Monotone Mappings in Partially Ordered Metric Spaces. Kragujevac Journal of Mathematics, Tome 38 (2014) no. 2, p. 249 . http://geodesic.mathdoc.fr/item/KJM_2014_38_2_a2/