DEMICONTINUITY, GENERALIZED CONVEXITY AND LOOSE SADDLE POINTS OF SET-VALUED MAPS

DOI10.1080/02331930290019431zbMath1041.49020OpenAlexW2027364119MaRDI QIDQ4548045

Trúóng Xuân Dúc Hā

Publication date: 4 November 2002

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930290019431

zbMATH Keywords

generalized convexitysaddle pointset-valued mapdemicontinuityloose saddle point

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued functions (26E25) Duality theory (optimization) (49N15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (2)

Minimax Problems for Set-Valued Mappings ⋮ Saddle points and scalarizing sets in multiple objective linear programming

Cites Work

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• Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions
• Cones admitting strictly positive functionals and scalarization of some vector optimization problems
• Existence theorems for saddle points of vector-valued maps
• The fixed point theory of multi-valued mappings in topological vector spaces
• Positive Proper Efficient Points and Related Cone Results in Vector Optimization Theory
• A saddlepoint theorem for set-valued maps
• A necessary and sufficient condition for upper hemicontinuous set-valued mappings without compact-values being upper demicontinuous

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