有限型条件的应用

Application to the Finite Type Condition

若自相似迭代函数系{φj}jm=1(满足:φj(x)=cjx+bj,bj∈R.其中0<cj<1)关于不变开集Ω满足有限型条件,对满足一定条件的另一不变开集U,证明{φj}jm=1关于U也满足有限型条件.

If self-- similar IFS {φj}j^m=1 （which satisfies： φj（x）=xjx＋bj,bj∈R ,where 0〈cj〈1）satisfies finite type condition with respect to the invariant open set Ω. We prove IFS {φj}j^m=1 also satisfies finite type condition with respect to another invariant open set U with some condition.