A converse of the Gale-Klee-Rockafellar theorem: Continuity of convex functions at the boundary of their domains

DOI10.1090/S0002-9939-2013-11643-6zbMath1275.52008MaRDI QIDQ2845441

Emil Ernst

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

conical pointsclosed convex functionscontinuity of convex functionsGale-Klee-Rockafellar theoremlinearly accessible pointspolyhedral points

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Polytopes and polyhedra (52B99) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Asymptotic order-of-vanishing functions on the pseudoeffective cone ⋮ Local conicity and polyhedrality of convex sets ⋮ Continuity of convex functions at the boundary of their domains: an infinite dimensional Gale-Klee-Rockafellar theorem ⋮ On the nonemptiness of the \(\alpha\)-core of discontinuous games: transferable and nontransferable utilities

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• NOTE ON THE CONTINUITY OF M-CONVEX AND L-CONVEX FUNCTIONS IN CONTINUOUS VARIABLES
• Automatic Continuity of Concave Functions
• Convex Functions on Convex Polytopes
• On Conjugate Convex Functions

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