Minimax theorems for set-valued maps without continuity assumptions

DOI10.1080/02331934.2015.1091822zbMath1338.49036arXiv1304.0339OpenAlexW1746182193MaRDI QIDQ2810104

Monica Patriche

Publication date: 31 May 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0339

zbMATH Keywords

set-valued mapsgeneralized convexityminimax theoremsfixed-point theorem

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Set-valued operators (47H04) Existence of solutions for minimax problems (49J35) Optimality conditions for minimax problems (49K35)

Related Items (4)

Generalized Lagrangian duality in set-valued vector optimization via abstract subdifferential ⋮ An extreme value theorem on closed convex subsets of \(L^p\) spaces and two applications ⋮ Minimax problems for set-valued mappings with set optimization ⋮ On the minimax theorem for the space of probability measures on metric spaces

Cites Work

• Ky Fan minimax inequalities for set-valued mappings
• New existence theorems for quasi-equilibrium problems and a minimax theorem on complete metric spaces
• Minimax theorems for scalar set-valued mappings with nonconvex domains and applications
• A minimax theorem for vector-valued functions. II
• Some minimax problems of vector-valued functions
• A minimax theorem for vector-valued functions
• Some minimax theorems in vector-valued functions
• Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions
• Generalized minimax inequalities for set-valued mappings
• Minimax theorems for set-valued mappings.
• Generalized minimax theorems for two set-valued mappings
• Existence of solution of minimax inequalities, equilibria in games and fixed points without convexity and compactness assumptions
• Minimax Problems for Set-Valued Mappings
• On cone convexity of set-valued maps
• Weak and strong convergence of proximal penalization and proximal splitting algorithms for two-level hierarchical Ky Fan minimax inequalities
• Semicontinuity of the solution mappings to weak generalized parametric Ky Fan inequality problems with trifunctions
• Minimax Theorems

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