TY - JOUR
T1 - On a decomposition space of a weak self-similar set
AU - Kitada, Akihiko
AU - Ogasawara, Yoshihito
PY - 2005/5
Y1 - 2005/5
N2 - 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.
AB - 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.
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U2 - 10.1016/j.chaos.2004.09.083
DO - 10.1016/j.chaos.2004.09.083
M3 - Article
AN - SCOPUS:12244278301
SN - 0960-0779
VL - 24
SP - 785
EP - 787
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -