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
.
Acknowledgments
The authors would like to thank the referees and the editor for their valuable comments and corrections.
Disclosure statement
No potential conflict of interest was reported by the authors.