Pseudomonotone Variational Inequalities: Convergence of the Auxiliary Problem Method

被引：0
作者：
N. El Farouq
机构：
[1] Université Blaise Pascal,
来源：
Journal of Optimization Theory and Applications | 2001年 / 111卷
关键词：
Variational inequalities; optimization problems; generalized monotonicity; pseudomonotonicity; convergence of algorithms;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：305 / 322
页数：17
相关论文
共 32 条
[1]  
Harker P. T.(1990): Mathematical Programming 48 161-220
[2]  
Pang J. S.(1976), Journal of Optimization Theory and Applications 18 445-455
[3]  
Karamardian S.(1990), Journal of Optimization Theory and Applications 66 37-47
[4]  
Karamardian S.(1993)Complementarity Problems over Cones with Monotone and Pseudomonotone Maps Journal of Optimization Theory and Applications 76 399-413
[5]  
Schaible S.(1995)Seven Kinds of Monotone Maps Journal of Optimization Theory and Applications 84 361-376
[6]  
Karamardian S.(1995)Characterizations of Generalized Monotone Maps Journal of Optimization Theory and Applications 87 457-471
[7]  
Schaible S.(1965)Generalized Monotonicity and Generalized Convexity SIAM Journal on Control 3 281-290
[8]  
Crouzeix J. P.(1994)New Classes of Generalized Monotonicity Mathematics of Operations Research 19 691-705
[9]  
Komlosi S.(1994)Pseudoconvex Functions Journal of Optimization Theory and Applications 83 391-403
[10]  
Zhu D.(1997)Variational Inequalities with Generalized Monotone Operators Mathematical Programming 78 305-314
1234