Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 19270, 14 pages
doi:10.1155/2007/19270
Research Article

Hybrid Steepest Descent Method with Variable Parameters for General Variational Inequalities

Yanrong Yu and Rudong Chen

 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Received 16 April 2007; Accepted 2 August 2007

Recommended by Yeol Je Cho

Abstract

We study the strong convergence of a hybrid steepest descent method with variable parameters for the general variational inequality (GVI) (F,g,C). Consequently, as an application, we obtain some results concerning the constrained generalized pseudoinverse. Our results extend and improve the result of Yao and Noor (2007) and many others.