A double projection method for solving variational inequalities without monotonicity

被引：109
作者：
Ye, Minglu [1 ,2 ]
He, Yiran [1 ]
机构：
[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China
[2] China West Normal Univ, Coll Math & Informat, Nanchong 637002, Sichuan, Peoples R China
来源：
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS | 2015年 / 60卷 / 01期
关键词：
Variational inequality; Quasimonotone; Double projection method; STEP-SIZE; ALGORITHM;
D O I：
10.1007/s10589-014-9659-7
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 present a double projection algorithm for solving variational inequalities without monotonicity. If the solution of dual variational inequality does exist, then the sequence produced by our method is globally convergent to a solution. Under the same assumption, the sequence produced by known methods has only a subsequence converging to a solution. Numerical experiments are reported.
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页码：141 / 150
页数：10
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