Convergence and fixed points by fuzzy orders (Q835121)

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scientific article; zbMATH DE number 5599394
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English
Convergence and fixed points by fuzzy orders
scientific article; zbMATH DE number 5599394

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    Convergence and fixed points by fuzzy orders (English)
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    28 August 2009
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    This paper is an attempt to face questions of convergence and fixed points by unifying fixed-point theory in ordered sets and fixed-point theory in metric spaces. A general approach to fixed-point theory is proposed which is related to the notion of fuzzy ordering. This approach extends both the fixed-point theorems in metric spaces and the ones in ordered sets. An example from logic programming is discussed.
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    fixed points
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    metric spaces
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    ordered sets
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    fuzzy orders
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