A selection theorem of Helly type and its applications

DOI10.4064/sm-116-1-43-48zbMath0847.52004OpenAlexW306506888MaRDI QIDQ4857823

Ehrhard Behrends, Kazimierz Nikodem

Publication date: 11 December 1995

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216218

zbMATH Keywords

set-valued mappingsnormed spaceaffine functionsHelly-type abstract selection theorem

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Helly-type theorems and geometric transversal theory (52A35)

Related Items (4)

Strong convexity and separation theorems ⋮ Separation by Jensen and affine stochastic processes ⋮ The affine separation problem revisited ⋮ Local affine selections of convex set-valued functions

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