Invariant sets and Knaster-Tarski principle

• Autorzy: Krzysztof Leśniak
• Języki publikacji: EN

Abstrakty

EN

Our aim is to point out the applicability of the Knaster-Tarski fixed point principle to the problem of existence of invariant sets in discrete-time (multivalued) semi-dynamical systems, especially iterated function systems.

Słowa kluczowe

EN

Invariant in closure set; Barnsley-Hutchinson operator; Fixed point; Monotone map; Measure of noncompactness; Strongly condensing multifunction

Kategorie tematyczne

• 47H08: Measures of noncompactness and condensing mappings, K -set contractions, etc.
• 54H20: Topological dynamics
• 54H25: Fixed-point and coincidence theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 2077-2087

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Krzysztof Leśniak

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100, Toruń, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0109-4