Topological KKM theorems and generalized vector equilibria on G-convex spaces with applications (Q2701626)
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scientific article
| Language | Label | Description | Also known as |
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| English | Topological KKM theorems and generalized vector equilibria on G-convex spaces with applications |
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Topological KKM theorems and generalized vector equilibria on G-convex spaces with applications (English)
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19 February 2001
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KKM theorems
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equilibrium
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multifunction
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G-convex spaces
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The authors obtain an existence theorem for generalized equilibrium problems related to an admissible multifunction. The framework is that of G-convex spaces without linear structure. The proof of the theorem relies on a slight modification of the topological KKM theorem of \textit{S. Park} and \textit{H. Kim} [J. Math. Anal. Appl. 197, No. 1, 173-187 (1996; Zbl 0851.54039)].
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