A monotone path-connected set with outer radially lower continuous metric projection is a strict sun
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Publication:2360253
DOI10.1134/S0037446617010025zbMath1376.46014MaRDI QIDQ2360253
Publication date: 30 June 2017
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
best approximationmetric projectionChebyshev setsunstrict sunmonotone path-connected setmoonradial continuity of the metric projection
Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items (3)
Selections of the best and near-best approximation operators and solarity ⋮ Selections of the metric projection operator and strict solarity of sets with continuous metric projection ⋮ Characterization of sets with continuous metric projection in the space \(\ell^\infty_n\)
Cites Work
- Connectedness and other geometric properties of suns and Chebyshev sets
- Radial continuity of set-valued metric projections
- On some geometric properties of suns
- Suns, moons, and quasi-polyhedra
- Connectedness and solarity in problems of best and near-best approximation
- Monotone path-connectedness of Chebyshev sets in the space $ C(Q)$
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