The \(n\)-antiproximinal sets

DOI10.3103/S0027132215030067zbMath1351.46014MaRDI QIDQ253954

Borislav Borisovich Bednov

Publication date: 8 March 2016

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

antiproximinal

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

Example of an antiproximinal, but not a 2-antiproximinal convex closed bounded body.

Cites Work

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• Weakly proximinal sets
• Antiproximinal sets in spaces of continuous functions
• Antiproximinal norms in Banach spaces
• Steiner points in the space of continuous functions
• Some results on nearest points and support properties of convex sets in \(c_ 0\)
• A course on optimization and best approximation
• On the convexity of $ N$-Chebyshev sets
• Counterexamples Concerning Support Theorems for Convex Sets in Hilbert Space
• A NOTE ON NEAREST POINTS

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