Selections of the metric projection operator and strict solarity of sets with continuous metric projection
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Publication:4596671
DOI10.1070/SM8765zbMath1426.41039OpenAlexW2607081699MaRDI QIDQ4596671
Publication date: 4 December 2017
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm8765
sunstrict sunmonotone path-connected setlower semicontinuous metric projectionselection of metric projection
Selections in general topology (54C65) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items (7)
Some classical problems of geometric approximation theory in asymmetric spaces ⋮ Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties ⋮ Selections of the best and near-best approximation operators and solarity ⋮ Characterization of sets with continuous metric projection in the space \(\ell^\infty_n\) ⋮ Approximative properties of sets and continuous selections ⋮ Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm ⋮ Solarity of sets in max-approximation problems
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