International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 16, Pages 1043-1046
doi:10.1155/S016117120320435X
Common periodic points for a class of continuous commuting mappings on an interval
1Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
2Basis Courses Teaching Department, Dalian Institute of Light Industry, Liaoning, Dalian 116034, China
Received 22 April 2002
Copyright © 2003 Shin Min Kang and Weili Wang. 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.
Abstract
The existence of common periodic points for a family of continuous
commuting self-mappings on an interval is proved and two
illustrative examples are given in support of our theorem and
definition.