Semicontinuity of solution mappings of parametric generalized vector equilibrium problems

被引：61
|
作者：
Kimura, K. [1 ]
Yao, J. C. [1 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2008年 / 138卷 / 03期
关键词：
epsilon-generalized vector equilibrium problems; epsilon-extended vector equilibrium problems; upper semicontinuity; lower semicontinuity; C-compactness;
D O I：
10.1007/s10957-008-9386-2
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we study the epsilon-generalized vector equilibrium problem (epsilon-GVEP) and the epsilon-extended vector equilibrium problem (epsilon-EVEP), which can be regarded as approximate problems to the generalized vector equilibrium problems (GVEP). Existence results for epsilon-GVEP and epsilon-EVEP are established. We investigate also the continuity of the solution mappings of epsilon-GVEP and epsilon-EVEP. In particular, two results concerning the lower semicontinuity of the solution mappings of epsilon-GVEP and epsilon-EVEP are presented.
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页码：429 / 443
页数：15
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