Infinite iterated function systems : a multivalued approach

• Autorzy: Leśniak K.
• Języki publikacji: EN

Abstrakty

EN

We prove that a compact family of bounded condensing multifunctions has bounded condensing set-theoretic union. Compactness is understood in the sense of the Chebyshev uniform semimetric induced by the Hausdorff distance and condensity is taken w.r.t. the Hausdorff measure of noncompactness. As a tool, we present an estimate for the measure of an infinite union. Then we apply our result to infinite iterated function systems.

Słowa kluczowe

EN

compactness in Chebyshev's semimetric; Hausdorff measure of noncompactness; condensing multifunction; uniformly Hausdorff upper semicontinuous multifunction; iterated function system; Barnsley-Hutchinson operator; maximal fixed point; attractor

PL

zwartość w pseudometryce Czebyszewa; układ funkcji iterowanej; operator Barnsley'a-Hutchinsona; punkt stały maksymalny; atraktor

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 1
• Strony: 1--8
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Leśniak K.

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

Bibliografia

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