Fixed points of semigroups of Lipschitzian mappings (Q1422322)
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scientific article; zbMATH DE number 2040353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed points of semigroups of Lipschitzian mappings |
scientific article; zbMATH DE number 2040353 |
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Fixed points of semigroups of Lipschitzian mappings (English)
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11 February 2004
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The authors establish three fixed point theorems for semigroups of Lipschitzian mappings -- one is a generalization of Lifschitz's fixed point theorem for uniformly Lipschitzian mappings in metric spaces. The second is a generalization of Kirk's fixed point theorem for mappings of asymptotically nonexpansive type and the third is a generalization of Lim-Xu's fixed point theorem for uniformly Lipschitzian mappings satisfying the Casini-Mahrta condition.
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fixed points
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Lipschitzian mappings
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