On the von Neumann–Sion minimax theorem in KKM spaces
Autor: | Sehie Park |
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Rok vydání: | 2010 |
Předmět: |
KKM principle
Picard–Lindelöf theorem Minimax theorem Applied Mathematics Mathematical analysis Fixed-point theorem Fan–Browder fixed point theorem Combinatorics KKM space Parthasarathy's theorem Danskin's theorem Brouwer fixed-point theorem Kakutani fixed-point theorem Mathematics Mean value theorem |
Zdroj: | Applied Mathematics Letters. 23(10):1269-1273 |
ISSN: | 0893-9659 |
DOI: | 10.1016/j.aml.2010.06.011 |
Popis: | In an abstract convex space ( E , D ; Γ ) , we show that the partial KKM principle is equivalent to a Fan–Browder type fixed point theorem and that this theorem implies generalized forms of the von Neumann–Sion minimax theorem. |
Databáze: | OpenAIRE |
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