On nearest points in closed convex sets

DOI10.1080/01630569808816818zbMath0898.46010OpenAlexW2055515922MaRDI QIDQ4386125

Ivan Singer

Publication date: 26 April 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569808816818

zbMATH Keywords

reflexive Banach spaceChebyshev setequivalent normunique nearest pointproper closed convex subsets without support points

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• Convex functions, monotone operators and differentiability.
• On Supportless Convex Sets
• Proximal Analysis and Boundaries of Closed Sets in Banach Space. Part II: Applications
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