Block Monotone Iterative Algorithms for Variational Inequalities with Nonlinear Operators  

作　　者：Ming-hui Ren Jin-ping Zeng 

机构地区：[1]Department of Mathematics, Hunan University of Arts and Science, Changde 415000, China [2]College of Software, Dongguan University of Technology, Dongguan 511700, China

出　　处：《Acta Mathematicae Applicatae Sinica》2008年第2期221-232,共12页应用数学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.10671060);the Doctoral Fund of Ministry of Education of China granted[2003]0532006

摘　　要：Some block iterative methods for solving variational inequalities with nonlinear operators are proposed. Monotone convergence of the algorithms is obtained. Some comparison theorems are also established. Compared with the research work in given by Pao in 1995 for nonlinear equations and research work in given by Zeng and Zhou in 2002 for elliptic variational inequalities, the algorithms proposed in this paper are independent of the boundedness of the derivatives of the nonlinear operator.Some block iterative methods for solving variational inequalities with nonlinear operators are proposed. Monotone convergence of the algorithms is obtained. Some comparison theorems are also established. Compared with the research work in given by Pao in 1995 for nonlinear equations and research work in given by Zeng and Zhou in 2002 for elliptic variational inequalities, the algorithms proposed in this paper are independent of the boundedness of the derivatives of the nonlinear operator.

关 键 词：Monotone iterative algorithm upper solution lower solution comparison theorem VARIATIONALINEQUALITY 

分 类 号：O177[理学—数学]