Abstract
Consider the surjective, continuous map and the continuous map of induced by , where is a compact metric space and is the space of all nonempty compact subsets of endowed with the Hausdorff metric. In this paper, we give a short proof that if is Li-Yoke sensitive, then is Li-Yorke sensitive. Furthermore, we give an example showing that Li-Yorke sensitivity of does not imply Li-Yorke sensitivity of .
Citation
Heng Liu. Fengchun Lei. Lidong Wang. "Li-Yorke Sensitivity of Set-Valued Discrete Systems." J. Appl. Math. 2013 (SI22) 1 - 5, 2013. https://doi.org/10.1155/2013/260856