Fréchet differentiability of the distance function and the structure of sets

DOI10.1007/BF01158025zbMath0711.46038MaRDI QIDQ923334

V. S. Balaganskij

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fréchet differentiabledistance functionChebyshev sunclosed convex body

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (2)

Differentiability of distance function and the proximinal condition implying convexity ⋮ A Chebyshev set and its distance function

Cites Work

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• Some theorems on Chebyshev sets
• Metric projections and the differentiability of distance functions
• Approximative compactness and continuity of metric projections

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