A remark on the approximate fixed-point property (Q1864359)
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scientific article; zbMATH DE number 1883739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on the approximate fixed-point property |
scientific article; zbMATH DE number 1883739 |
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A remark on the approximate fixed-point property (English)
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17 March 2003
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The author gives an example of an unbounded convex closed set \(C\) in \(l^{2}\) with the following properties: (i) \(C\) has the approximate fixed point property for nonexpansive mappings, (ii) \(C\) is not contained in a block for every orthogonal basis in \(l^{2}\).
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Hilbert space \(l^{2}\)
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approximate fixed point theorem
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nonexpansive operator
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