On the structure of fixed-point sets of uniformly Lipschitzian mappings (Q933137)
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scientific article; zbMATH DE number 5302289
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of fixed-point sets of uniformly Lipschitzian mappings |
scientific article; zbMATH DE number 5302289 |
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On the structure of fixed-point sets of uniformly Lipschitzian mappings (English)
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21 July 2008
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The authors show that for \(k\) close to 1, the set of fixed points of any \(k\)-uniformly Lipschitzian mapping in a uniformly convex Banach space is a retract of a closed bounded convex domain.
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uniformly lipschitzian mapping
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retraction
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fixed point
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uniformly convex space
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