Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 19270, 14 pages
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

Academic Editor: Yeol Je Cho

Copyright © 2007 Yanrong Yu and Rudong Chen. 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 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.