分段严格单调连续自映射迭代根的不存在性  

Non-existence of Iterative Roots of Strictly Piecewise Monotone Continuous Self-mappings

作　　者：刘晓华[1] LIU Xiao-hua(School of Mathematics and Information Science,Leshan Normal University,Leshan Sichuan 614000,China)

机构地区：[1]乐山师范学院数学与信息科学学院,四川乐山614000

出　　处：《西南师范大学学报（自然科学版）》2020年第12期15-19,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：四川省教育厅重点科研基金项目(18ZA0242);乐山师范学院重点项目(LZD014).

摘　　要：区间上严格单调连续自映射的迭代根问题得到了彻底的解决.一类只有有限个非单调点的连续自映射,称为严格逐段单调自映射,简称为PM映射.对这类自映射,当特征区间存在时,已获得了一些关于其迭代根存在性的结果.继续研究PM映射迭代根的不存在性.The problem of iterative roots of monotone continuous self-mappings on interval was solved completely.A class of nonmonotone continuous self-mappings,which are continuous self-mappings with finite nonmonotone points,is referred to as strictly piecewise monotone self-mappings,or PM mappings simply.For this class of self-mappings,some results have been obtained for iterative roots when the characteristic interval exists.In this paper we continue to study non-existence of iterative roots of PM mappings.

关 键 词：PM映射 迭代根 不存在性 

分 类 号：O174[理学—数学]