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A constructive proximinality property of finite-dimensional linear subspaces

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Publication:1161109
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DOI10.1216/RMJ-1981-11-4-491zbMath0478.41021MaRDI QIDQ1161109

Douglas S. Bridges

Publication date: 1981

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

constructive proofproximinalquasi-proximinality


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Other constructive mathematics (03F65)


Related Items (8)

On the foundations of best approximation theory ⋮ A constructive development of Chebyshev approximation theory ⋮ Computability of finite-dimensional linear subspaces and best approximation ⋮ Convexity and unique minimum points ⋮ Computability of the Metric Projection Onto Finite-dimensional Linear Subspaces ⋮ Constructing best approximations on a Jordan curve ⋮ The fan theorem and unique existence of maxima ⋮ Continuity and Lipschitz constants for projections






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