The nearest point mapping is single valued nearly everywhere

DOI10.1007/BF01188685zbMath0715.54013MaRDI QIDQ752527

Tudor I. Zamfirescu

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

first Baire categorynearest point mappingmetric projection\(\sigma \) -porous setset of measure zero

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60)

Related Items (13)

Derivatives of generalized farthest functions and existence of generalized farthest points ⋮ Ambiguous loci of the metric projection onto compact starshaped sets in a Banach space ⋮ Densely two-valued metric projections in uniformly convex Banach spaces ⋮ On an old theorem of Erd ⋮ Densely connected ambiguous loci of the metric projection in Hilbert spaces ⋮ On compact connected sets in Banach spaces ⋮ The number of nearest and farthest points to a compactum in Euclidean space. ⋮ Nearest and farthest points in spaces of curvature bounded below ⋮ Compacta with Dense Ambiguous Loci of Metric Projections and Antiprojections ⋮ On a generalized best approximation problem ⋮ Extending and paralleling Stechkin's category theorem ⋮ Ambiguous loci of the nearest point mapping in Banach spaces ⋮ Derivatives of generalized distance functions and existence of generalized nearest points

Cites Work

• How Many Sets are Porous?
• Unnamed Item

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