Some results for the family \(KKM(X,Y)\) and the \(\Phi\)-mapping in \(FC\)-spaces (Q420243)
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scientific article; zbMATH DE number 6037041
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results for the family \(KKM(X,Y)\) and the \(\Phi\)-mapping in \(FC\)-spaces |
scientific article; zbMATH DE number 6037041 |
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Some results for the family \(KKM(X,Y)\) and the \(\Phi\)-mapping in \(FC\)-spaces (English)
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21 May 2012
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Summary: We establish a fixed point theorem for a \(k\)-set contraction map on the family \(KKM(X, X)\), which does not need to be a compact map. Then, we present the \(KKM\) type theorems, matching theorems, coincidence theorems, and minimax theorems on the family \(KKM(X, Y)\) and the \(\Phi\)-mapping in \(FC\)-spaces.
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