Fixed point theorems in locally \(G\)-convex spaces (Q5960858)
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scientific article; zbMATH DE number 1730532
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theorems in locally \(G\)-convex spaces |
scientific article; zbMATH DE number 1730532 |
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Fixed point theorems in locally \(G\)-convex spaces (English)
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9 June 2003
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The author shows that the Knaster-Kuratowski-Mazurkiewicz theorem (KKM theorem) implies far-reaching generalizations of the Brouwer theorem, including well-known fized point theorems due to Schauder, Tikhonov, Kakutani, Himmelberg and others.
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locally \(G\)-convex spaces
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KKM theorem
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Brouwer theorem
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fized point theorems
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