Iterative roots of upper semicontinuous multifunctions

作者：Zhang, Pingping^*; Huang, Liguo

来源：Advances in Difference Equations, 2017, 2017(1): 367.

DOI：10.1186/s13662-017-1408-7

• iterative root
• one-to-one
• upper semicontinuous multifunction
• set-valued point

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.

• 出版日期2017-11-25
• 单位滨州学院