On well posed generalized best approximation problems (Q1592400)
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scientific article; zbMATH DE number 1552977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On well posed generalized best approximation problems |
scientific article; zbMATH DE number 1552977 |
Statements
On well posed generalized best approximation problems (English)
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25 June 2003
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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 \(X\).
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weakly coupled system
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self-similar solutions
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