Sets of points of nonemptiness and continuity of the metric projection

DOI10.1007/BF01158278zbMath0528.41021OpenAlexW1974403060MaRDI QIDQ787050

Sergei V. Konyagin

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01158278

zbMATH Keywords

metric projectionapproximative compactness pointslower semicontinuity pointupper semicontinuity points

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 (6)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Sergei Vladimirovich Konyagin turns 60 ⋮ Continuity of the metric projection, structural and approximate properties of sets ⋮ Generic existence of solutions for some perturbed optimization problems ⋮ On mutually nearest and mutually furthest points of sets in Banach spaces ⋮ Nearest and farthest points in spaces of curvature bounded below

Cites Work

• Some results on nearest points and support properties of convex sets in \(c_ 0\)
• Characterizations of reflexivity
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
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