Continuity of metric projection

DOI10.1007/BF01156755zbMath0586.41026MaRDI QIDQ1071982

E. V. Oshman

Publication date: 1985

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

metric projectiongeometric characterizations

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)

Related Items (4)

New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ The representations and continuity of the metric projections on two classes of half-spaces in Banach spaces ⋮ On minimizing sequences for \(k\)-centres ⋮ Continuity of the metric projection on convex sets

Cites Work

• Some geometric properties of the spheres in a normed linear space
• Metric projection onto convex sets
• Strict sums and semicontinuity below metric projections in linear normed spaces
• Radial continuity of set-valued metric projections
• On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
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