Li-Yorke Sensitivity of Set-Valued Discrete Systems

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...

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Bibliographic Details
Main Authors: Heng Liu, Fengchun Lei, Lidong Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/260856