Journal of Inequalities and Applications
Volume 2005 (2005), Issue 2, Pages 175-188
Common fixed point theorems for left reversible and near-commutative semigroups and applications
1Department of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, China
2Department of Mathematics and RINS, Gyeongsang National University, Chinju 660-701, Korea
Received 21 May 2003
Copyright © 2005 Zeqing Liu and Shin Min Kang. 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.
We prove some common fixed point theorems for left reversible and near-commutative semigroups in compact and complete metric spaces, respectively. As applications, we get the existence and uniqueness of solutions for a class of nonlinear Volterra integral equations.