On well posed generalized best approximation problems
type: Item
instance of: scholarly article
title: On well posed generalized best approximation problems
zbMATH Open document ID: 1014.41015
author: C. Li
published in: Journal of Approximation Theory
publication date: 2003-06-25T00:00:00Z
review text: It is proved in the paper, that if \(C\) is both stictly convex and Kadec set in the Banach space \(X\), then the set \(X_{0}(G)\) of all \(x\) in \(X\) such that the problem \(min_{C}(x,G)\) is ill posed is a residual subset of \(X\) provided that \(G\) is closed, bounded relatively weakly compact, nonempty subset of \(X\).
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 47J20
zbMATH DE Number: 1552977
zbMATH Keywords: weakly coupled system
zbMATH Keywords: self-similar solutions
reviewed by: Stepan Agop Tersian
MaRDI profile type: Publication
OpenAlex ID: W2048152381
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DOI: 10.1006/JATH.2000.3503
description: scientific article; zbMATH DE number 1552977