Splitting algorithms for general pseudomonotone mixed variational inequalities

被引：19

作者：

Noor, MA ^{[1
]}

机构：

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

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2000年 / 18卷 / 01期

关键词：

variational inequalities; resolvent equations; iterative methods; convergence; fixed points;

D O I：

10.1023/A:1008322118873

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：

In this paper, we suggest and analyze a number of resolvent-splitting algorithms for solving general mixed variational inequalities by using the updating technique of the solution. The convergence of these new methods requires either monotonicity or pseudomonotonicity of the operator. Proof of convergence is very simple. Our new methods differ from the existing splitting methods for solving variational inequalities and complementarity problems. The new results are versatile and are easy to implement.

引用

页码：75 / 89

页数：15

共 50 条

[1] Splitting Algorithms for General Pseudomonotone Mixed Variational Inequalities
MUHAMMAD ASLAM NOOR
[J]. Journal of Global Optimization, 2000, 18 : 75 - 89
[2] Pseudomonotone general mixed variational inequalities
Noor, MA
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 141 (2-3) : 529 - 540
[3] Splitting methods for pseudomonotone mixed variational inequalities
Noor, MA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (01) : 174 - 188
[4] SPLITTING ALGORITHMS FOR SOLVING VARIATIONAL INCLUSIONS AND PSEUDOMONOTONE VARIATIONAL INEQUALITIES
Zhu, Li-Jun
Yao, Zhangsong
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (05) : 1021 - 1032
[5] Modified resolvent splitting algorithms for general mixed variational inequalities
Noor, MA
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 135 (01) : 111 - 124
[6] Algorithms for general monotone mixed variational inequalities
Noor, MA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 229 (01) : 330 - 343
[7] Projection-splitting algorithms for general monotone variational inequalities
Noor, MA
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2002, 4 (01) : 47 - 61
[8] Inertial extragradient algorithms for strongly pseudomonotone variational inequalities
Duong Viet Thong
Dang Van Hieu
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 341 : 80 - 98
[9] Some algorithms for general monotone mixed variational inequalities
Noor, MA
[J]. MATHEMATICAL AND COMPUTER MODELLING, 1999, 29 (07) : 1 - 9
[10] A class of globally convergent algorithms for pseudomonotone variational inequalities
Solodov, MV
[J]. COMPLEMENTARITY: APPLICATIONS, ALGORITHMS AND EXTENSIONS, 2001, 50 : 297 - 315

← 1 2 3 4 5 →