Invariant sets and Knaster-Tarski principle (Q1935659)
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scientific article; zbMATH DE number 6137118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant sets and Knaster-Tarski principle |
scientific article; zbMATH DE number 6137118 |
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Invariant sets and Knaster-Tarski principle (English)
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18 February 2013
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The paper under review surveys applications of the Knaster-Tarski fixed point principle, for partially ordered sets, in discrete-time (multivalued) dynamical systems. The notions disscussed by the author include measures of noncompactness, applications of Kuratowski's intersection theorem, the Barnsley-Hutchinson operator, minimal (sub)invariant sets and maximal (super)invariant sets.
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invariant in closure set
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Barnsley-Hutchinson operator
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fixed point
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monotone map
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measure of noncompactness
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strongly condensing multifunction
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