Mathematical Problems in Engineering 
Volume 2007 (2007), Article ID 23795, 7 pages
doi:10.1155/2007/23795
Research Article

A Self-Adaptive Method for Solving a System of Nonlinear Variational Inequalities

Chaofeng Shi1,2

 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

Recommended by A. Isidori

Abstract

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.