Modulus of strong proximinality and continuity of metric projection

DOI10.1007/s11228-010-0143-yzbMath1226.46012OpenAlexW2157239858MaRDI QIDQ542108

P. Shunmugaraj, Sudipta Dutta

Publication date: 8 June 2011

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

Full work available at URL: https://doi.org/10.1007/s11228-010-0143-y

zbMATH Keywords

best approximationmetric projectionproximinal setball intersection propertycontinuity of the metric projectionstrongly proximinal subspace

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

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Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• Some results on infinite-dimensional convexity
• Metric projections and polyhedral spaces
• Strongly proximinal subspaces of finite codimension in C(K)
• The $n$-ball properties in real and complex Banach spaces.
• On a Sufficient Condition for Proximity
• Metric projections of closed subspaces of c₀onto subspaces of finite codimension
• A Note on Polyhedral Banach Spaces
• Strong proximinality and polyhedral spaces
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