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A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations - MaRDI portal

A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations (Q5895534)

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scientific article; zbMATH DE number 6014547
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A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
scientific article; zbMATH DE number 6014547

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    A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations (English)
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    13 March 2012
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    Summary: We present a fixed point theorem for generalized contractions in partially ordered complete metric spaces. As an application, we give an existence and uniqueness theorem for the solution of a periodic boundary value problem.
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