Extending and paralleling Stechkin's category theorem

DOI10.12775/TMNA.2020.063zbMath1491.54029OpenAlexW3200365353MaRDI QIDQ2075667

Tudor I. Zamfirescu

Publication date: 15 February 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.063

zbMATH Keywords

Baire categorysingle-valuednearest point mapfarthest point map

Mathematics Subject Classification ID

Complete metric spaces (54E50) Compactness (54D30) Baire category, Baire spaces (54E52)

Cites Work

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• The nearest point mapping is single valued nearly everywhere
• Ambiguous loci of the nearest point mapping in Banach spaces
• Ambiguous loci of the metric projection onto compact starshaped sets in a Banach space
• On the cut locus in Alexandrov spaces and applications to convex surfaces
• Extending Stechkin's theorem and beyond
• Farthest points in reflexive locally uniformly rotund Banach spaces
• Farthest points of sets in uniformly convex Banach spaces
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Cardinality of the metric projection on typical compact sets in Hilbert spaces
• Compacta with Dense Ambiguous Loci of Metric Projections and Antiprojections
• On compact connected sets in Banach spaces
• On farthest points of sets

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