On the Banach contraction principle for multivalued mappings (Q2761420)
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scientific article; zbMATH DE number 1683529
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Banach contraction principle for multivalued mappings |
scientific article; zbMATH DE number 1683529 |
Statements
16 September 2003
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multivalued map
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fixed point
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contraction
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topological essentiality
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differential inclusion
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almost periodic solution
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On the Banach contraction principle for multivalued mappings (English)
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The paper is a survey, containing the following main topics: extensions of the Banach contraction principle for multimaps, the topological structure of fixed point sets (including conditions under which they are absolute retracts and lower estimates of their topological dimension), topological essentiality of multimaps, applications to the existence of almost periodic solutions for differential inclusions.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00036].
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