An intrinsic characterization of lower semicontinuity of the metric projection in \(C_ 0(T,X)\)

DOI10.1016/0021-9045(89)90052-XzbMath0688.41036OpenAlexW2059425485MaRDI QIDQ1263769

Wu Li

Publication date: 1989

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90052-x

zbMATH Keywords

metric projection

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

Various continuities of metric projections in \(C_ 0(T,X)\)

Cites Work

• Continuous selections. I
• Best approximation in the space of continuous vector-valued functions
• The set of continuous selections of a metric projection in C(X)
• Characterization of continuous selections of the metric projection for spline functions
• Various continuities of metric projections in \(C_ 0(T,X)\)
• On the lower semicontinuity of the set-valued metric projection
• Continuous selections for metric projections
• Continuity of the set-valued metric projection
• On continuous selections for metric projections in spaces of continuous functions
• A survey of metric selections
• Characterization of Continuous Selections of the Metric Projection for a Class of Weak Chebyshev Spaces
• Weak Chebyshev Subspaces and Continuous Selections for the Metric Projection
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