The structure of fixed-point sets of uniformly Lipschitzian semigroups (Q1956305)
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scientific article; zbMATH DE number 6175352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of fixed-point sets of uniformly Lipschitzian semigroups |
scientific article; zbMATH DE number 6175352 |
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The structure of fixed-point sets of uniformly Lipschitzian semigroups (English)
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13 June 2013
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The author investigates the structure of the set of fixed points for one-parameter uniformly \(k\)-Lipschitzian semigroups and semi-topological uniformly \(k\)-Lipschitzian semigroups in uniformly convex Banach spaces. He proves that this set is a retract of the domain if \(k\) is close to \(1\).
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one-parameter semigroup
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left reversible semigroup
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uniformly Lipschitzian semigroup
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retraction
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asymptotic center
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fixed point
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uniformly convex Banach space
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