Some remarks about uniformly Lipschitzian mappings and Lipschitzian retractions (Q5944181)
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scientific article; zbMATH DE number 1652773
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks about uniformly Lipschitzian mappings and Lipschitzian retractions |
scientific article; zbMATH DE number 1652773 |
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Some remarks about uniformly Lipschitzian mappings and Lipschitzian retractions (English)
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7 November 2001
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The author presents some facts concerning Lipschitzian maps in Banach space. In particular it is shown that the Lipschitz constant of a Lipschitzian retraction of the ball in an infinite-dimensional Banach space onto its sphere is greater than or equal to \(3\) in every equivalent norm. Some open problems are posed.
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Lipschitzian maps
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nonexpansive map
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Lipschitzian retraction
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