Chebyshev sets with piecewise continuous metric projection

DOI10.1134/s0001434623050255zbMath1520.41008OpenAlexW4381331255MaRDI QIDQ6114322

I. G. Tsar'kov

Publication date: 11 July 2023

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

Full work available at URL: https://doi.org/10.1134/s0001434623050255

zbMATH Keywords

best approximationChebyshev setsmetric projectionsunssolarityuniformly convex normed space

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)

Chebyshev unions of planes, and their approximative and geometric properties

Cites Work

• Connectedness and other geometric properties of suns and Chebyshev sets
• Nonunique solvability of certain differential equations and their connection with geometric approximation theory
• Continuity of the metric projection, structural and approximate properties of sets
• Singular sets of surfaces
• Ball-complete sets and solar properties of sets in asymmetric spaces
• Geometry of the singular set of hypersurfaces and the eikonal equation
• Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces
• Properties of suns in the spaces \(L^1\) and \(C(Q)\)
• \(\mathring{B}\)-complete sets: approximative and structural properties
• Connectedness and solarity in problems of best and near-best approximation
• Approximative compactness and nonuniqueness in variational problems, and applications to differential equations
• Geometric Approximation Theory
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