Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 23795, 7 pages
A Self-Adaptive Method for Solving a System of Nonlinear Variational Inequalities
1School of Mathematics, Sichuan University, Chengdou, Sichuan 610064, China
2Department of Mathematics, Xianyang Normal College, Xianyang, Shaanxi 712000, China
Received 24 April 2006; Accepted 9 March 2007
Academic Editor: A. Isidori
Copyright © 2007 Chaofeng Shi. 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.
The system of nonlinear variational inequalities (SNVI) is a useful
generalization of variational inequalities. Verma (2001) suggested and analyzed
an iterative method for solving SNVI. In this paper, we present a new self-adaptive
method, whose computation cost is less than that of Verma's method. The
convergence of the new method is proved under the same assumptions as
Verma's method. Some preliminary
computational results are given to illustrate the efficiency of the proposed method.