Bilevel minimax theorems for non-continuous set-valued mappings

DOI10.1186/1029-242X-2014-182zbMath1311.49014OpenAlexW2122214963WikidataQ59322268 ScholiaQ59322268MaRDI QIDQ2258681

Yen-Cherng Lin

Publication date: 26 February 2015

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-182

zbMATH Keywords

set-valued mappingscone-convexitybilevel minimax theorems

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Existence of solutions for minimax problems (49J35)

Related Items (3)

Generalized hierarchical minimax theorems for set-valued mappings ⋮ An ε-Minimax Theorem for Bi-Lower-Semicontinuous Set-Valued Mappings ⋮ Minimax problems under hierarchical structures

Cites Work

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• Minimax and fixed point theorems
• Optimization and stability results through cone lower semicontinuity
• Generalized minimax inequalities for set-valued mappings
• Minimax theorems for set-valued mappings.
• Existence theorems for saddle points of vector-valued maps
• Minimax theorems for set-valued mappings under cone-convexities
• Vector network equilibrium problems and nonlinear scalarization methods

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