Abstract
We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. We prove some implications of these two properties for set-valued functions and generalize some results from a single-valued case to a set-valued case. We also show that both properties of set-valued dynamical systems are equivalence for any compact intervals.
Citation
Koon Sang Wong. Zabidin Salleh. "Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems." Abstr. Appl. Anal. 2021 1 - 7, 2021. https://doi.org/10.1155/2021/5541105
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