A \(G\)-KKM type theorem and its applications to minimax inequalities on \(G\)-convex spaces (Q1277072)
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scientific article; zbMATH DE number 1247737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A \(G\)-KKM type theorem and its applications to minimax inequalities on \(G\)-convex spaces |
scientific article; zbMATH DE number 1247737 |
Statements
A \(G\)-KKM type theorem and its applications to minimax inequalities on \(G\)-convex spaces (English)
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2 February 1999
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Summary: A \(G\)-KKM type theorem is obtained on \(G\)-convex spaces. As application, a generalization of Ky Fan's minimax inequality to non-compact sets on \(G\)-convex spaces is first obtained. As special cases of this minimax inequality, some new minimax inequalities are obtained. Four fixed point theorems and four equivalent formulations of the second minimax inequality are also obtained.
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\(G\)-convex hulls
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lower semicontinuous and upper semicontinuous maps
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\(G\)-KKM type theorem
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\(G\)-convex spaces
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Ky Fan's minimax inequality
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fixed point theorems
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