Metric environment of the topological fixed point theorems (Q2761642)
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scientific article; zbMATH DE number 1686058
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Metric environment of the topological fixed point theorems |
scientific article; zbMATH DE number 1686058 |
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18 August 2003
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Banach spaces
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Hilbert spaces
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fixed point property
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topological retract
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contractibility
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minimal displacement
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Metric environment of the topological fixed point theorems (English)
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This paper is an interesting collection of results, examples, comments and ideas connected with Brouwer and Schauder's fixed point theorems. It is organized as follows: Introduction (Brouwer's theorem, nonretraction and non-contractibility theorems), Schauder's theorem (Kakutani's examples, Klee's theorem, minimal displacement), Minimal displacement problem, Optimal retraction problem, The case of Hilbert space, Notes and Remarks. The paper ends with an extensive bibliography.NEWLINENEWLINEFor the entire collection see [Zbl 0970.54001].
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0.7904070615768433
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