A generalized section theorem and a minimax inequality for a vector-valued mapping1

DOI10.1080/02331939108843716zbMath0761.47036OpenAlexW2008358633MaRDI QIDQ3979524

Guang-Ya Chen

Publication date: 26 June 1992

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939108843716

zbMATH Keywords

Fan's section theoremgeneralized Browder's fixed point theorem for a set-valued mappingminimax inequalities for a vector-valued mapping in an ordered Banach space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (12)

Foundations of the KKM theory on generalized convex spaces ⋮ Ky Fan minimax inequalities for set-valued mappings ⋮ Saddle points and minimax theorems for vector-valued multifunctions on \(H\)-spaces ⋮ Minimax theorems for scalar set-valued mappings with nonconvex domains and applications ⋮ Minimax inequalities for set-valued mappings ⋮ Some minimax problems in lexicographic order ⋮ The strong minimax theorem and strong saddle points of vector-valued functions ⋮ Minimax problems for set-valued mappings with set optimization ⋮ A minimax theorem for vector-valued functions in lexicographic order ⋮ A minimax inequality for vector-valued mappings ⋮ Existence of solutions for a generalized vector quasivariational inequality ⋮ Minimax theorems for set-valued mappings.

Cites Work

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• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Some minimax theorems in vector-valued functions
• In memory of Henry J. Kelley
• The fixed point theory of multi-valued mappings in topological vector spaces
• Ordered linear spaces
• Scalarization in vector optimization
• On the Existence of Pareto Efficient Points

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