Bernstein-Doetsch-type criteria for the continuity and Lipschitz continuity of convex set-valued mappings

DOI10.1134/S1064562416060193zbMath1366.49017OpenAlexW2570818511MaRDI QIDQ521421

A. V. Marinov

Publication date: 11 April 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562416060193

zbMATH Keywords

set-valued mapBernstein-Doetsch criterion

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53)

Cites Work

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• The Lipschitzianity of convex vector and set-valued functions
• On the \(C\)-Lipschitz continuities and \(C\)-approximations of multivalued mappings
• Variational methods in partially ordered spaces
• Strongly convex set-valued maps
• Bernstein--Doetsch type theorems for set-valued maps of strongly and approximately convex and concave type
• Hölder continuity of generalized convex set-valued mappings

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