文章基本信息

标题：Iterative roots of upper semicontinuous multifunctions
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作者：Pingping Zhang ; Liguo Huang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：367
DOI：10.1186/s13662-017-1408-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：The square iterative roots for strictly monotonic and upper semicontinuous functions with one set-valued point were fully described in (Li et al. in Publ. Math. (Debr.) 75:203-220, 2009). As a continuation, we study both strictly monotonic and nonmonotonic multifunctions. We present sufficient and necessary conditions under which those multifunctions have nth iterative roots. This equivalent condition and the construction method of nth iterative roots extend the previous results.
关键词：iterative root ; one-to-one ; upper semicontinuous multifunction ; set-valued point