A minimax theorem for functions with possibly nonconnected intersections of sublevel sets

DOI10.1016/j.jmaa.2005.04.002zbMath1104.49009OpenAlexW2040629393MaRDI QIDQ2581478

Dušan D. Repovš, Pavel V. Semenov

Publication date: 10 January 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.002

zbMATH Keywords

minimax problemBanach spacecontinuous selectionparaconvexityconvex-valued mapping

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Existence of solutions for minimax problems (49J35) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items

Sections of convex bodies and splitting problem for selections ⋮ A class of functions whose sublevel sets are absolute retracts ⋮ Selections, paraconvexity and PF-normality

Cites Work

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• Contractibility and generalized convexity
• A selection theorem for \(C\)-spaces
• On paraconvexity of graphs of continuous functions
• Functionally paraconvex sets
• Paraconvex Sets.
• Minimax Theorems for ANR's
• Topological Minimax Theorems
• Topological Intersection Theorems
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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