Fuzzy sets and fixed points (Q1093156)
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scientific article; zbMATH DE number 4021988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy sets and fixed points |
scientific article; zbMATH DE number 4021988 |
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Fuzzy sets and fixed points (English)
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1987
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Existence criteria for points x satisfying the condition \(F(x)(x)=1\) for fuzzy mappings F over compact convex subsets of topological vector spaces are given. The problem is a natural generalization of the standard fixed point problem for point-to-set mappings and it is interesting in Game Theory and in other fields of Mathematical Economics [see \textit{C. Ponsard} and \textit{B. Fustier} (ed.s): ``Fuzzy Economics and Spatial Analysis'', Collection de l'Institute de Mathématiques Economiques, Dijon (1986; Zbl 0616.90001) and the references therein].
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fuzzy mappings
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compact convex subsets of topological vector spaces
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generalization of the standard fixed point problem for point-to-set mappings
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0.92200756
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