Fixed points of multivalued contractions with nonclosed, nonconvex values (Q1344561)
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scientific article; zbMATH DE number 722296
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed points of multivalued contractions with nonclosed, nonconvex values |
scientific article; zbMATH DE number 722296 |
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Fixed points of multivalued contractions with nonclosed, nonconvex values (English)
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25 May 1997
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Summary: For a class of multivalued contractions with nonclosed, nonconvex values, the set of all fixed points is proved to be nonempty and arcwise connected. Two applications are then developed. In particular, one of them is concerned with some properties of the set of all classical trajectories corresponding to continuous controls for a given nonlinear control system.
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arcwise connectedness
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multivalued contractions
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nonlinear control system
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