Existence of Solutions for Generalized Vector Variational-like Inequalities

被引：0
|
作者：
L. C. Ceng
S. Schaible
J. C. Yao
机构：
[1] Shanghai Normal University,Department of Mathematics
[2] University of California,A.G. Anderson Graduate School of Management
[3] National Sun Yat-Sen University,Department of Applied Mathematics
来源：
Journal of Optimization Theory and Applications | 2008年 / 137卷
关键词：
Generalized vector variational-like inequalities; Generalized pseudomonotone-like operators; Generalized hemicontinuous-like operators; Variational inequalities;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider a generalized vector variational-like inequality problem (for short, GVVLIP), which includes generalized vector variational inequalities, vector variational inequalities and classical variational inequalities as special cases. The concepts of generalized C-pseudomonotone-like and generalized H-hemicontinuous-like operators are introduced. Some existence results for GVVLIP are obtained under the assumptions of generalized C-pseudomonotone-like property and generalized H-hemicontinuous-like property. These results appear to be new and interesting. New existence results of the classical variational inequality are also obtained.
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页码：121 / 133
页数：12
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