Nondifferentiability properties of the nearest point mapping

DOI10.1007/BF02796144zbMath0759.49006MaRDI QIDQ1813628

Tudor I. Zamfirescu

Publication date: 25 June 1992

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Fréchet derivativenearest point mappingdirectional derivative

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Baire category, Baire spaces (54E52) Geometry and structure of normed linear spaces (46B20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• Some new results on smoothness and rotundity in normed linear spaces
• Nearly all convex bodies are smooth and strictly convex
• Curvature properties of typical convex surfaces
• The curvature of most convex surfaces vanishes almost everywhere
• Nonexistence of curvature in most points of most convex surfaces
• Most convex mirrors are magic
• Points of infinitely many normals to convex surfaces.
• On differentiation of metric projections in finite dimensional Banach spaces
• Differentiability of the Metric Projection in Hilbert Space
• Shorter Notes: Differentiability of the Metric Projection in Finite- Dimensional Euclidean Space

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