$ M$-strongly convex subsets and their generating sets

DOI10.1070/SM2000v191n01ABEH000447zbMath1004.46014OpenAlexW2003216288MaRDI QIDQ4515767

E. S. Polovinkin, Maxim V. Balashov

Publication date: 23 November 2000

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2000v191n01abeh000447

zbMATH Keywords

convex analysisgenerating setsupport principle\(M\)-strongly convex setCarathéodory and Kreĭn-Milman theorems

Mathematics Subject Classification ID

Convex programming (90C25) Nonsmooth analysis (49J52) Geometry and structure of normed linear spaces (46B20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

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