Pseudomonotone variational inequalities: Convergence of the auxiliary problem method

被引：21

作者：

El Farouq, N ^{[1
]}

机构：

[1] Univ Clermont Ferrand, Toulouse, France

[2] CNRS, LAAS, F-31077 Toulouse, France

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2001年 / 111卷 / 02期

关键词：

variational inequalities; optimization problems; generalized monotonicity; pseudomonotonicity; convergence of algorithms;

D O I：

10.1023/A:1012234817482

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：

This paper deals with the convergence of the algorithm built on the auxiliary problem principle for solving pseudomonotone (in the sense of Karamardian) variational inequalities.

引用

页码：305 / 326

页数：22

共 50 条

[1] Pseudomonotone Variational Inequalities: Convergence of the Auxiliary Problem Method
N. El Farouq
Journal of Optimization Theory and Applications, 2001, 111 : 305 - 322
[2] Pseudomonotone variational inequalities: Convergence of the auxiliary problem method
El Farouq, N.
Journal of Optimization Theory and Applications, 2001, 105 (02) : 305 - 326
[3] Errata Corrige: Pseudomonotone Variational Inequalities: Convergence of the Auxiliary Problem Method
N. El Farouq
Journal of Optimization Theory and Applications, 2002, 114 : 477 - 477
[4] Pseudomonotone variational inequalities: Convergence of the auxiliary problem method (vol 111, pg 305. 2001)
El Farouq, N
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 114 (02) : 477 - 477
[5] Convergence of the approximate auxiliary problem method for solving generalized variational inequalities
Hue, TT
Strodiot, JJ
Nguyen, VH
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 121 (01) : 119 - 145
[6] Convergence of the Approximate Auxiliary Problem Method for Solving Generalized Variational Inequalities
T. T. Hue
J. J. Strodiot
V. H. Nguyen
Journal of Optimization Theory and Applications, 2004, 121 : 119 - 145
[7] Convergence Rate of a Modified Extragradient Method for Pseudomonotone Variational Inequalities
Khanh P.D.
Vietnam Journal of Mathematics, 2017, 45 (3) : 397 - 408
[8] Generalized partially relaxed pseudomonotone variational inequalities and general auxiliary problem principle
Verma, Ram U.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2006, 2006 (1) : 1 - 12
[9] Generalized partially relaxed pseudomonotone variational inequalities and general auxiliary problem principle
Ram U. Verma
Journal of Inequalities and Applications, 2006
[10] Pseudomonotone Variational Inequalities: Convergence of Proximal Methods
N. EL FAROUQ
Journal of Optimization Theory and Applications, 2001, 109 : 311 - 326

← 1 2 3 4 5 →