Some minimax theorems of set-valued maps and their applications

DOI10.1016/j.na.2014.06.011zbMath1296.49020OpenAlexW1983685008MaRDI QIDQ399095

Issei Kuwano

Publication date: 19 August 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.06.011

zbMATH Keywords

scalarizationminimax theoremset-valued optimization

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Existence of solutions for minimax problems (49J35) Optimality conditions for minimax problems (49K35)

Related Items (8)

On the solution continuity of parametric set optimization problems ⋮ Characterizations of set order relations and nonlinear scalarizations via generalized oriented distance function in set optimization ⋮ Some saddle-point theorems for vector-valued functions ⋮ An extreme value theorem on closed convex subsets of \(L^p\) spaces and two applications ⋮ An ε-Minimax Theorem for Bi-Lower-Semicontinuous Set-Valued Mappings ⋮ Optimality conditions and minimax properties in set optimization ⋮ Minimax Theorem for Two Set-Valued Mappings with Nonconvex Domains ⋮ On the minimax theorem for the space of probability measures on metric spaces

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