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Fixed point theorems in partially ordered metric spaces and applications. (English) Zbl 1106.47047
This paper gives some coupled fixed point theorems for a monotone mapping in a metric space endowed with a partial order, using a weak contractivity type assumption. Besides including several recent developments, the theorems can be used to investigate a class of problems. As an application, the existence and uniqueness of solutions for a periodic boundary value problem are discussed.

MSC:
47H10Fixed-point theorems for nonlinear operators on topological linear spaces
34B15Nonlinear boundary value problems for ODE
54H25Fixed-point and coincidence theorems in topological spaces
54F05Linearly, generalized, and partial ordered topological spaces
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References:
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