Some remarks on lower hemicontinuity of convex multivalued mappings

DOI10.1007/s00199-005-0600-2zbMath1103.54012OpenAlexW2003181966MaRDI QIDQ2490703

Piotr Maćkowiak

Publication date: 18 May 2006

Published in: Economic Theory (Search for Journal in Brave)

Full work available at URL: https://mpra.ub.uni-muenchen.de/41917/1/MPRA_paper_41917.pdf

zbMATH Keywords

multivalued mappingspolytopesconvexitylower hemicontinuity

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Economic growth models (91B62) Set-valued operators (47H04) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

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Characterization and computation of control invariant sets for linear impulsive control systems ⋮ Variational principles for supinf problems with constraints ⋮ On smoothness properties of optimal value functions at the boundary of their domain under complete convexity ⋮ A converse of the Gale-Klee-Rockafellar theorem: Continuity of convex functions at the boundary of their domains

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