A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations (Q5897022)
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scientific article; zbMATH DE number 5666137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations |
scientific article; zbMATH DE number 5666137 |
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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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5 February 2010
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Let \((X,\leq)\) be a partially ordered set and \(d\) a complete metric on \(X\). The authors present a fixed point theorem for an operator \(f:X\to X\) under some suitable conditions in terms of \(\leq\) and \(d\). An application to ordinary differential equations is also given.
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generalized contraction
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increasing operator
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fixed points
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contraction type maps
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partially ordered metric spaces
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differential equations
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