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
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.
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.