A study of variational inequalities for set-valued mappings

被引：1
|
作者：
Tan, KK
Tarafdar, E
Yuan, GXZ [1 ]
机构：
[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia
[2] Dalhousie Univ, Dept Math Stat & Comp Sci, Halifax, NS B3H 3J5, Canada
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 1999年 / 3卷 / 02期
关键词：
monotone pair; simultaneous variational inequality; KKM mapping principle; Fan-Glicksberg fixed point theorem; implicit quasi-variational inequality;
D O I：
10.1155/S1025583499000120
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, Ky Fan's KKM mapping principle is used to establish the existence of solutions for simultaneous variational inequalities. By applying our earlier results together with Fan-Glicksberg fixed point theorem, we prove some existence results for implicit variational inequalities and implicit quasi-variational inequalities for set-valued mappings which are either monotone or upper semi-continuous.
引用
收藏
页码：161 / 181
页数：21
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