A second-order iterative method for solving quasi-variational inequalities

被引：15

作者：

Antipin, A. S. ^{[1
]}

Mijajlovic, N. ^{[2
,3
]}

Jacimovic, M. ^{[2
,3
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia

[2] Univ Montenegro, Podgorica 81000, Montenegro

[3] Univ Crne Core, Podgorica 81000, Montenegro

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2013年 / 53卷 / 03期

关键词：

second-order method; iterative method; quasi-variational inequalities;

D O I：

10.1134/S0965542513030032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A second-order iterative method for solving quasi-variational inequalities is examined, and sufficient conditions for this method to converge are found. DOI: 10.1134/S0965542513030032

引用

页码：258 / 264

页数：7

共 13 条

[1] A second-order continuous method for solving quasi-variational inequalities
Antipin, A. S.
Jacimovic, M.
Mijailovic, N.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (11) : 1856 - 1863
[2] Antipin A.S., 2000, Comput. Math. Math. Phys., V40, P1239
[3] A class of gap functions for quasi-variational inequality problems
Fukushima, Masao
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2007, 3 (02) : 165 - 171
[4] Noor M. A., 1994, Le Math.(Catania), V49, P313
[5] Second-order methods for some quasivariational inequalities
Ryazantseva, I. P.
[J]. DIFFERENTIAL EQUATIONS, 2008, 44 (07) : 1006 - 1017
[6] Ryazantseva I. P., 2007, Comput. Math. Math. Phys, V47, P183, DOI [DOI 10.1134/S0965542507020030, 10.1134/S0965542507020030]
[7] Vasilev F. P., 2011, Optimization Methods
[8] [No title captured]
[9] [No title captured]
[10] [No title captured]

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