A remark on the lower semi-continuity of the set-valued metric projection

DOI10.1016/0021-9045(80)90105-7zbMath0428.41025OpenAlexW2059101248MaRDI QIDQ1137207

Heinrich Krüger

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90105-7

zbMATH Keywords

set-valued metric projectioncontinuity-properties of set-valued mappings

Mathematics Subject Classification ID

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

Related Items (8)

A framework for best simultaneous approximation: normed almost linear spaces ⋮ Lower semicontinuity, almost lower semicontinuity, and continuous selections for set-valued mappings ⋮ Centers and Nearest Points of Sets ⋮ A relationship between the 1\(\frac12\)-ball property and the strong 1\(\frac12\)-ball property ⋮ Nonuniqueness and selections in spline approximation ⋮ Linear selections for the metric projection ⋮ On approximate minima of a convex functional and lower semicontinuity of metric projections ⋮ Continuity of metric projections onto subspaces and openness of quotient maps on unit balls

Cites Work

• Continuous selections. I
• Schnitte für die metrische Projektion
• On the lower semicontinuity of the set-valued metric projection
• Continuous selections for metric projections
• Continuity of the set-valued metric projection

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