Topologically finite intersection property and minimax theorems

DOI10.1007/BF02456945zbMath0856.49004OpenAlexW2085134124MaRDI QIDQ1892314

Shi Sheng Zhang, Xiangsun Zhang

Publication date: 4 February 1997

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02456945

zbMATH Keywords

minimax theoremconnected setfinite intersection property

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Connected and locally connected spaces (general aspects) (54D05) Optimality conditions for minimax problems (49K35)

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Generalized KKM theorem and variational inequalities
• Generalized KKM theorem on \(H\)-space with applications
• The topological versions of KKM theorem and Fan's matching theorem with applications
• On a class of functions analytic in a half disk and an associated interpolation problem
• Generalizations of Ky Fan's matching theorems and their applications
• Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
• Topological Intersection Theorems

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