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arXiv · 2011.13543

Iterative roots of exclusive multifunctions

Liu Liu·Lin Li·Weinian Zhang
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Abstract

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 multifunctions of exact one jump. For the general investigation, we introduce a concept `intensity' to formulate the growth of jumps under iteration and find a class of strictly monotone and upper semi-continuous multifunctions of intensity 1, called exclusive multifunctions, each of which has an absorbing interval. Then we use the absorbing interval to construct iterative roots of order $n$ for those exclusive multifunctions.

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Liu Liu, Lin Li, Weinian Zhang. 2020-12-07. Iterative roots of exclusive multifunctions. https://doi.org/10.1080/10236198.2020.1862810

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