Coupled fixed point theorems for ϕ-contractive mixed monotone mappings in partially ordered metric spaces
Berinde, Vasile
Original · EN
In this paper we extend the coupled fixed point theorems for mixed monotone operators F:X × X → X obtained in [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006) 1379-1393] and [N.V. Luong and N.X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011) 983-992], by weakening the involved contractive condition. An example as well an application to nonlinear Fredholm integral equations are also given in order to illustrate the effectiveness of our generalizations.
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