2 papers
math.CA2021
A sufficient condition for existence of iterative roots of PM functions without the characteristic endpoints condition
Xiao Tang, Lin Li
For PM functions of height 1, the existence of continuous iterative roots of any order was obtained under the characteristic endpoints condition. This raises an open problem about…
math.DS2020
Iterative roots of exclusive multifunctions
Liu Liu, Lin Li, Weinian Zhang
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…