Continuity of metric projections in uniformly convex and uniformly smooth Banach spaces

DOI10.1016/0021-9045(83)90074-6zbMath0543.41033OpenAlexW2004893247MaRDI QIDQ796018

Theagenis Abatzoglou

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90074-6

zbMATH Keywords

metric projection

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25)

Related Items

Inequalities in Banach spaces with applications ⋮ Strongly unique best approximation in uniformly convex Banach spaces

Cites Work

• The Lipschitz continuity of the metric projection
• Differentiability of nonlinear best approximation operator in a real inner product space
• The Minimum Norm Projection on C 2 -Manifolds in R n
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