Equilibrium existence theorems in KKM spaces (Q960199)
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scientific article; zbMATH DE number 5382862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equilibrium existence theorems in KKM spaces |
scientific article; zbMATH DE number 5382862 |
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Equilibrium existence theorems in KKM spaces (English)
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16 December 2008
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A KKM space is defined as an abstract convex space satisfying the KKM principle. The purpose of this paper is to show that several well-known results in KKM theory on G-convex spaces also hold for KKM spaces (such as the Sperner and Alexandrov--Pasynkov theorems, Horvath and Himmelberg type fixed point theorems, a Fan--Browder type coincidence point theorem, a Nash type equilibrium theorem, a von~Neumann type minimax theorem, etc.). The article is based on several papers of the same author.
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multivalued mapping
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abstract convex space
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KKM space
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G-convex space
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maximal element
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fixed point
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map classes \(\mathfrak K, \mathfrak {KC}, \mathfrak{KD}\)
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