Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 2, Pages 175-188
doi:10.1155/JIA.2005.175

Common fixed point theorems for left reversible and near-commutative semigroups and applications

Zeqing Liu1 and Shin Min Kang2

 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

Abstract

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.