Bernstein--Doetsch type theorems for set-valued maps of strongly and approximately convex and concave type

DOI10.5486/PMD.2014.5904zbMath1299.26032arXiv1401.3190MaRDI QIDQ5169270

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Publication date: 21 July 2014

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3190

zbMATH Keywords

set-valued mapstrong convexityapproximate convexity\(K\)-Jensen convexity/concavityTakagi transformation

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

Bernstein-Doetsch type theorems with Tabor type error terms for set-valued maps ⋮ On approximately convex and affine functions ⋮ On approximately monotone and approximately Hölder functions ⋮ Bernstein-Doetsch-type criteria for the continuity and Lipschitz continuity of convex set-valued mappings

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