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

Shin Min Kang1 and Weili Wang2

1Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
2Basis Courses Teaching Department, Dalian Institute of Light Industry, Liaoning, Dalian 116034, China

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.