On the splitting problem for selections

DOI10.1016/J.JMAA.2009.01.051zbMath1169.54007arXiv0807.3104OpenAlexW2044226294MaRDI QIDQ1018354

Maxim V. Balashov, Dušan D. Repovš

Publication date: 19 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3104

zbMATH Keywords

Hilbert spaceset-valued mappingcontinuous selection\(P\)-setfinite-dimensional Banach spaceLipschitz selection

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Uniform convexity and the splitting problem for selections ⋮ Convex sections of rectangular sets and splitting of selections ⋮ Polyhedral approximations of strictly convex compacta ⋮ Chebyshev centres, Jung constants, and their applications

Cites Work

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• ON GLOBAL EXISTENCE OF AN IMPLICIT FUNCTION
• $ M$-strongly convex subsets and their generating sets
• Lipschitz continuous parametrizations of set-valued maps with weakly convex images
• A Lipschitz Condition Preserving Extension for a Vector Function
• Set-valued analysis

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