Fixed point and related theorems for set-valued mappings (Q2761644)
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scientific article; zbMATH DE number 1686060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point and related theorems for set-valued mappings |
scientific article; zbMATH DE number 1686060 |
Statements
16 September 2003
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KKM theory
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set-valued map
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fixed point
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\(G\)-convex space
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\(H\)-space
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hyperconvex space
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minimax results
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generalized convexity structures
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Fixed point and related theorems for set-valued mappings (English)
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The paper is devoted to some developments of KKM (Knaster-Kuratowski-Mazurkiewicz) theory [see, e.g., the author's monograph, ``KKM theory and applications in nonlinear analysis'' (Pure and Applied Mathematics 218, Marcel Dekker, New York) (1999; Zbl 0936.47034)] in spaces with generalized convexity structures (\(H\)-spaces, \(G\)-convex spaces, metric hyperconvex spaces) and its applications to fixed point and minimax results.NEWLINENEWLINEFor the entire collection see [Zbl 0970.54001].
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