Projection methods for monotone variational inequalities

被引：10

作者：

Noor, MA ^{[1
]}

Rassias, TM

机构：

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 237卷 / 02期

关键词：

variational inequalities; projection method; splitting method; convergence criteria;

D O I：

10.1006/jmaa.1999.6422

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study some new iterative methods for solving monotone variational inequalities by using the updating technique of the solution. It is shown that the convergence of the new methods requires the monotonicity and pseudomonotonicity of the operator. The new methods are very versatile and are easy to implement. The techniques include the splitting and extragradient methods as special cases, (C) 1999 Academic Press.

引用

页码：405 / 412

页数：8

共 50 条

[1] Extended Projection Methods for Monotone Variational Inequalities
Y. B. Zhao
[J]. Journal of Optimization Theory and Applications, 1999, 100 : 219 - 231
[2] Extended projection methods for monotone variational inequalities
Zhao, YB
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 100 (01) : 219 - 231
[3] A class of projection and contraction methods for monotone variational inequalities
Bingsheng He
[J]. Applied Mathematics and Optimization, 1997, 35 (1): : 69 - 76
[4] A class of projection and contraction methods for monotone variational inequalities
He, BS
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1997, 35 (01): : 69 - 76
[5] Improvements of some projection methods for monotone nonlinear variational inequalities
He, BS
Liao, LZ
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 112 (01) : 111 - 128
[6] Interior projection-like methods for monotone variational inequalities
Alfred Auslender
Marc Teboulle
[J]. Mathematical Programming, 2005, 104 : 39 - 68
[7] Improvements of Some Projection Methods for Monotone Nonlinear Variational Inequalities
B. S. He
L. Z. Liao
[J]. Journal of Optimization Theory and Applications, 2002, 112 : 111 - 128
[8] Modified projection-type methods for monotone variational inequalities
Solodov, MV
Tseng, P
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (05) : 1814 - 1830
[9] Incremental Constraint Projection Methods for Monotone Stochastic Variational Inequalities
Iusem, Alfredo N.
Jofre, Alejandro
Thompson, Philip
[J]. MATHEMATICS OF OPERATIONS RESEARCH, 2019, 44 (01) : 236 - 263
[10] Interior projection-like methods for monotone variational inequalities
Auslender, A
Teboulle, M
[J]. MATHEMATICAL PROGRAMMING, 2005, 104 (01) : 39 - 68

← 1 2 3 4 5 →