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ABSTRACT In this paper, the set of chain recurrent points of monotone maps on graphs is investigated. A compact metric space X has the CR-Pm property provided that for each… Click to show full abstract
ABSTRACT In this paper, the set of chain recurrent points of monotone maps on graphs is investigated. A compact metric space X has the CR-Pm property provided that for each monotone self-mapping f of X, , where and are the sets of periodic points and chain recurrent points of f, respectively. We show that a local dendrite X has the CR-Pm property if and only if X is a dendrite containing neither the infinite star nor the dendrite .
Keywords:
recurrent points;
chain recurrent;
points monotone;
property
Journal Title: Journal of Difference Equations and Applications
Year Published: 2019
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Journal Title: Journal of Difference Equations and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!