On a decomposition space of a weak self-similar set

Akihiko Kitada, Yoshihito Ogasawara

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Under some conditions concerning the weak contractions fj (d(fj(x), fj(y)) ≦ αj(l)d(x, y) for d(x, y) < l, l > 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.

Original languageEnglish
Pages (from-to)785-787
Number of pages3
JournalChaos, Solitons and Fractals
Volume24
Issue number3
DOIs
Publication statusPublished - 2005 May

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

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