On closures of preimages of metric projection mappings in Hilbert spaces

DOI10.1007/s11228-015-0350-7zbMath1334.49055OpenAlexW2140263556WikidataQ59408108 ScholiaQ59408108MaRDI QIDQ904304

Dariusz Zagrodny

Publication date: 13 January 2016

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-015-0350-7

zbMATH Keywords

concavitydifferentiabilityconvexityHilbert spacesbest approximationdistance functionChebyshev setsinverse mappingminimizing sequencemetric projections

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Best approximation, Chebyshev systems (41A50) Inequalities and extremum problems involving convexity in convex geometry (52A40) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

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