Copyright © 2011 Taixiang Sun et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be the set of all continuous self-maps of the closed interval and has a cycle with rotation pair for any positive integer . In this paper, we prove that if , then , where is integer, odd, with coprime, and .