On Vector Implicit Variational Inequalities and Complementarity Problems

被引：0
|
作者：
Nan-Jing Huang
Jun Li
机构：
[1] Sichuan University,Department of Mathematics
[2] China West Normal University,Department of Mathematics
来源：
Journal of Global Optimization | 2006年 / 34卷
关键词：
Ordered Banach space; Vector implicit complementarity problem; Vector implicit variational inequality; 49J40; 90C33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, two vector implicit variational inequalities and three vector implicit complementarity problems are introduced with a more general order in ordered Banach spaces and the equivalence between them is studied under certain assumptions. Furthermore, some existence theorems of the vector implicit variational inequalities are proved. We answered the open question proposed by Rapcsák [Nonconvex Optim., Appl., Vol. 38, Kluwer Acad. Publ., Dordrecht, 2000, pp. 371–380].
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页码：399 / 408
页数：9
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