On a decomposition space of a weak self-similar set

Akihiko Kitada, Yoshihito Ogasawara

研究成果: Article

4 引用 (Scopus)

抄録

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.

元の言語English
ページ(範囲)785-787
ページ数3
ジャーナルChaos, Solitons and Fractals
24
発行部数3
DOI
出版物ステータスPublished - 2005 5

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metric space
Self-similar Set
contraction
decomposition
Decompose
Compact Metric Space
Homeomorphic
Contraction

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

これを引用

On a decomposition space of a weak self-similar set. / Kitada, Akihiko; Ogasawara, Yoshihito.

:: Chaos, Solitons and Fractals, 巻 24, 番号 3, 05.2005, p. 785-787.

研究成果: Article

Kitada, Akihiko ; Ogasawara, Yoshihito. / On a decomposition space of a weak self-similar set. :: Chaos, Solitons and Fractals. 2005 ; 巻 24, 番号 3. pp. 785-787.
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