The Lipschitz continuity of the metric projection

DOI10.1016/0021-9045(79)90059-5zbMath0415.41024OpenAlexW2085289805MaRDI QIDQ600037

Theagenis Abatzoglou

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90059-5

zbMATH Keywords

Hilbert spacebest approximationmetric 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 (5)

Best approximations from Hilbert submanifolds ⋮ The Lipschitz property of the metric projection in the Hilbert space ⋮ About the Lipschitz property of the metric projection in the Hilbert space ⋮ Quasi-convex sets and size \(\times\) curvature condition, application to nonlinear inversion ⋮ Continuity of metric projections in uniformly convex and uniformly smooth Banach spaces

Cites Work

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• Differentiability of nonlinear best approximation operator in a real inner product space
• Curvature Measures
• Metric Curvature, Folding, and Unique Best Approximation
• The Minimum Norm Projection on C 2 -Manifolds in R n

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