On the Lifshits Constant for Hyperspaces

• Autorzy: K. Leśniak
• Języki publikacji: EN

Abstrakty

EN

The Lifshits theorem states that any k-uniformly Lipschitz map with a bounded orbit on a complete metric space X has a fixed point provided k < ϰ(X) where ϰ(X) is the so-called Lifshits constant of X. For many spaces we have ϰ(X) > 1. It is interesting whether we can use the Lifshits theorem in the theory of iterated function systems. Therefore we investigate the value of the Lifshits constant for several classes of hyperspaces.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 54B20: Hyperspaces
• 51K99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 2
• Strony: 155-160

Daty

wydano

2007

Twórcy

autor

K. Leśniak

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

Identyfikatory

DOI

10.4064/ba55-2-6