Uniform Convergence and Transitive Subsets

Let (X,d) be a metric space and a sequence of continuous maps fn:X→X that converges uniformly to a map f. We investigate the transitive subsets of fn whether they can be inherited by f or not. We give sufficient conditions such that the limit map f has a transitive subset. In particular, we show the...

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Bibliographic Details
Main Authors: Lei Liu, Shuli Zhao, Hongliang Liang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/970934
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