Li‐Yorke Sensitivity of Set‐Valued Discrete Systems

Heng Liu, Fengchun Lei and Lidong Wang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: Consider the surjective, continuous map f : X → X and the continuous map f¯ of 𝒦(X) induced by f, where X is a compact metric space and 𝒦(X) is the space of all nonempty compact subsets of X endowed with the Hausdorff metric. In this paper, we give a short proof that if f¯ is Li‐Yoke sensitive, then f is Li‐Yorke sensitive. Furthermore, we give an example showing that Li‐Yorke sensitivity of f does not imply Li‐Yorke sensitivity of f¯.

Date: 2013
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https://doi.org/10.1155/2013/260856

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:260856

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