论文标题
独家多功能的迭代根
Iterative roots of exclusive multifunctions
论文作者
论文摘要
在本文中，我们研究了严格单调上半连续多功能的迭代根，其跳跃有限很多。已知的结果是关于确切的一跳多功能的订单2的根。为了进行一般研究，我们引入了一个概念“强度”，以制定迭代下跳跃的增长，并找到一类严格的单调和上半连续的强度1，称为独家多功能，每个功能都具有吸收间隔。然后，我们使用吸收间隔来为这些独家多名构建订单$ n $的迭代根。
In this paper we investigate iterative roots of strictly monotone upper semi-continuous multifunctions having finitely many jumps. Known results are concerning roots of order 2 for multifunctions of exact one jump. For the general investigation, we introduce a concept `intensity' to formulate the growth of jumps under iteration and find a class of strictly monotone and upper semi-continuous multifunctions of intensity 1, called exclusive multifunctions, each of which has an absorbing interval. Then we use the absorbing interval to construct iterative roots of order $n$ for those exclusive multifunctions.
