Li-Yorke Sensitivity of Set-Valued Discrete Systems
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Consider the surjective, continuous mapf:X→Xand the continuous mapf¯of𝒦(X)induced byf, whereXis a compact metric space and𝒦(X)is the space of all nonempty compact subsets ofXendowed with the Hausdorff metric. In this paper, we give a short proof that iff¯is Li-Yoke sensitive, thenfis Li-Yorke sensitive. Furthermore, we give an example showing that Li-Yorke sensitivity offdoes not imply Li-Yorke sensitivity off¯.
2018 ◽
Vol 32
(15)
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pp. 1850166
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2004 ◽
Vol 04
(03)
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pp. 373-384
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1988 ◽
Vol 38
(3)
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pp. 393-395
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2016 ◽
Vol 38
(1)
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pp. 143-154
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2012 ◽
Vol 204-208
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pp. 4776-4779
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2018 ◽
Vol 20
(07)
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pp. 1750086
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