| Fixpoints of Iterates and Quasinormal Families |
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| 作者姓名： | 郭辉 |
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| 作者单位： | Dept.ofMath.Education,NormalCollege,ShenzhenUniv.,Shenzhen,Guangdong,518060,P.R.China |
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| 基金项目： | Supported partly by the National Natural Science Foundation of China(No.10371078)and the Natural Science Foundation of Guangdong Province in China(No.984112) |
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| 摘 要： | Let A, B be two sets and f:A→B a map. The iterates f~n: A_n→B,n=1,2,…aredefined inductively by A_1=A, f~1=f and A_1=f~(-1)(A_(n-1)∩B), f~n=f~(n-1)(f) for n≥2.Note that A_2=f~(-1)(A_1∩B)A=A_1 and thus A_n A_(n-1) A for n≥2. A point x∈A is called a periodic point of period n of f if x∈A_n and f~n(x)=x, butf_j(x)≠x for any j less than n. A periodic point of period 1 is called a fixpoint. Then a periodic
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| 关 键 词： | 复平面 不动点 标准序列 周期 |
| 修稿时间： | 2004年4月30日 |
Fixpoints of Iterates and Quasinormal Families |
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| GUO Hui.Fixpoints of Iterates and Quasinormal Families[J].Advances in Mathematics,2004,33(3):373-374. |
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| Authors: | GUO Hui |
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| Abstract: | |
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