Strong Proximinality in Metric Spaces

DOI10.30755/NSJOM.05733zbMath1474.41075OpenAlexW2791251262MaRDI QIDQ4985282

Sahil Gupta, Tulsi Dass Narang

Publication date: 23 April 2021

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30755/nsjom.05733

zbMATH Keywords

metric projectionstrongly Chebyshev setapproximatively compact setlocally uniformly convex spacestrongly proximinal set

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some examples concerning proximinality in Banach spaces
• On quasi-Chebyshev subspaces of Banach spaces
• Some generalizations of locally uniform rotundity
• Proximinality in Banach spaces
• On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps
• Best Approximation in Metric Spaces
• Approximative compactness and continuity of metric projections
• Two renorming constructions related to a question of Anselone
• On a metrization of polytopes
• Locally Uniformly Convex Banach Spaces
• Strong proximinality and polyhedral spaces

This page was built for publication: Strong Proximinality in Metric Spaces