论文标题
多功能的迭代根
Iterative Roots of Multifunctions
论文作者
论文摘要
提出了一些易于验证的足够条件，以介绍对任意非空置的多种迭代根的不存在。通常，如果多功能的图具有具有相对数量的路径的特殊点，那么这样的多功能就不会允许任何迭代根。这些结果可以通过将其缩写视为多功能，将其应用于单值地图。通过显示某些复杂多项式的某些指定顺序的迭代根的不存在来说明这一点。
Some easily verifiable sufficient conditions for the nonexistence of iterative roots for multifunctions on arbitrary nonempty sets are presented. Typically if the graph of the multifunction has a distinguished point with a relatively large number of paths leading to it then such a multifunction does not admit any iterative root. These results can be applied to single-valued maps by considering their pullbacks as multifunctions. This has been illustrated by showing the nonexistence of iterative roots of some specified orders for certain complex polynomials.
