In this paper, we generalize the notion of the ergodic shadowing property to the iterated function systems and prove some related theorems on this notion. In addition, we give an example to show that there is an iterated function system which has the ergodic shadowing property but not weakly mixing. Moreover, we show that ergodic shadowing property implies the average shadowing property for iterated function systems.

中文翻译：

---

迭代函数系统的遍历阴影特性

在本文中，我们将遍历阴影属性的概念推广到了迭代函数系统，并证明了这一概念的一些相关定理。另外，我们举一个例子来说明，存在一个具有遍历阴影特性但没有弱混合的迭代函数系统。此外，我们证明了遍历阴影属性暗示了迭代函数系统的平均阴影属性。