On a decomposition space of a weak self-similar set

Akihiko Kitada and Yoshihito Ogasawara

Chaos, Solitons & Fractals, 2005, vol. 24, issue 3, 785-787

Abstract: Under some conditions concerning the weak contractions fj (d(fj(x),fj(y))≦αj(l)d(x,y) for d(x,y)0, 0<αj(l)<1), j=1,…,m defined on a compact metric space X, a decomposition space of the weak self-similar set generated by the system fj, j=1,…,m is proved to be homeomorphic to X.

Date: 2005
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077904005739
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:3:p:785-787

DOI: 10.1016/j.chaos.2004.09.083

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().