Some new continuity concepts for metric projections

DOI10.1090/S0002-9904-1972-13073-8zbMath0255.41029MaRDI QIDQ5669744

Frank Deutsch, Bruno Brosowski

Publication date: 1972

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Input optimization: I. Optimal realizations of mathematical models ⋮ Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties ⋮ Selections of the metric projection operator and strict solarity of sets with continuous metric projection ⋮ Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces ⋮ Support cones and convexity of sets in ℝⁿ ⋮ Schnitte für die metrische Projektion ⋮ On a generalized best approximation problem ⋮ Chebychev sets which are not suns

Cites Work

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• On the lower semicontinuity of the set-valued metric projection
• On some geometric properties of suns
• Metric projections onto subspaces of finite codimension
• Continuity of the set-valued metric projection
• Charakterisierung bester Approximationen in normierten Vektorräumen
• Über eine Fixpunkteigenschaft der metrischen Projektion
• Suns, moons, and quasi-polyhedra
• Best n -Dimensional Approximation to Sets of Functions
• Extension of compact operators