Continuous extension operators and convexity

DOI10.1016/j.na.2011.07.013zbMath1230.47082OpenAlexW2039892309MaRDI QIDQ642554

Simeon Reich, Eva Matoušková

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.013

zbMATH Keywords

Hilbert spacecontinuous selectionLipschitz constantextension operatorHausdorff distanceLipschitz mappingclosed convex hulllower semicontinuous set-valued mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Set-valued operators (47H04) Selections in general topology (54C65) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Extension of maps (54C20)

Related Items (2)

Continuity of extensions of Lipschitz maps ⋮ Continuous selections of Lipschitz extensions in metric spaces

Cites Work

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