具有单集值点的分段严格递增集值映射的迭代根

Iterative roots of piecewise strictly increasing multifunctions with a unique set-valued point

在进行数据分析时用集值映射代替传统的单值映射可以有效减少误差,因此关于集值映射的研究是十分重要的.前人已讨论了全局单调上半连续且有有限个集值点的集值映射的迭代根问题,现在进一步研究分段严格递增的单集值映射的迭代根问题并给出了迭代根的构造.

Since the error can be reduced effectively by using set-valued mapping instead of traditional single-valued mapping in data analysis,it is of great importance for the research into multifunctions.Previous work have discussed iterative roots of globally strict monotone upper semi-continuous multifunctions having a finte number of set-valued points.Therefore,we follow up to investigate the iterative roots of piecewise strictly increasing multifunctions with a unique set-valued point,and give the structure of iterative roots.