Semicontinuity of Solution Mappings of Parametric Generalized Vector Equilibrium Problems

被引：0
|
作者：
K. Kimura
J. C. Yao
机构：
[1] National Sun Yat-Sen University,Department of Applied Mathematics
来源：
Journal of Optimization Theory and Applications | 2008年 / 138卷
关键词：
-Generalized vector equilibrium problems; -Extended vector equilibrium problems; Upper semicontinuity; Lower semicontinuity; -Compactness;
D O I：
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学科分类号：
摘要：
In this paper, we study the ε-generalized vector equilibrium problem (ε-GVEP) and the ε-extended vector equilibrium problem (ε-EVEP), which can be regarded as approximate problems to the generalized vector equilibrium problems (GVEP). Existence results for ε-GVEP and ε-EVEP are established. We investigate also the continuity of the solution mappings of ε-GVEP and ε-EVEP. In particular, two results concerning the lower semicontinuity of the solution mappings of ε-GVEP and ε-EVEP are presented.
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页码：429 / 443
页数：14
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