Iterative schemes for quasimonotone mixed variational inequalities

被引：11
作者：
Noor, MA [1 ]
机构：
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada
来源：
OPTIMIZATION | 2001年 / 50卷 / 1-2期
关键词：
variational inequalities; resolvent equations; iterative methods; convergence; fixed points;
D O I：
10.1080/02331930108844552
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider some new iterative methods for solving quasimonotone mixed variational inequalities by updating the solution. These algorithms are based on combining extrapolation and splitting techniques. The convergence analysis of these new methods is considered. These new methods are versatile and are easy to implement. Our method of proof of convergence is very simple and uses either monotonicity or quasimonotonicity of the operator.
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页码：29 / 44
页数：16
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