On the von Neumann-Sion minimax theorem in KKM spaces

DOI10.1016/j.aml.2010.06.011zbMath1195.49010OpenAlexW2008608987MaRDI QIDQ990804

Sehie Park

Publication date: 1 September 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.06.011

zbMATH Keywords

minimax theoremKKM principleKKM spaceFan-Browder's fixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Existence of solutions for minimax problems (49J35)

Related Items (3)

Collectively fixed point theorems in noncompact abstract convex spaces with applications ⋮ A collectively fixed point theorem in abstract convex spaces and its applications ⋮ The Fan minimax inequality implies the Nash equilibrium theorem

Cites Work

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• On general minimax theorems
• A generalization of Tychonoff's fixed point theorem
• Fixed point theory of multimaps in abstract convex uniform spaces
• Equilibrium existence theorems in KKM spaces
• Ninety years of the Brouwer fixed point theorem
• The fixed point theory of multi-valued mappings in topological vector spaces
• A SIMPLE PROOF OF THE SION MINIMAX THEOREM
• A Simple Proof of Sion's Minimax Theorem
• ELEMENTS OF THE KKM THEORY ON CONVEX SPACES

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