Continuity of the solution mappings to parametric generalized strong vector equilibrium problems

被引：0
作者：
S. J. Li
H. M. Liu
Y. Zhang
Z. M. Fang
机构：
[1] Chongqing University,College of Mathematics and Statistics
[2] Chongqing University,College of Economics and Business Administration
[3] Chongqing Police College,Department of Criminal Investigation
来源：
Journal of Global Optimization | 2013年 / 55卷
关键词：
Upper semicontinuity; Lower semicontinuity; Parametric generalized strong vector equilibrium problem; Scalarization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish the upper semicontinuity and lower semicontinuity of solution mappings to a parametric generalized strong vector equilibrium problem with setvalued mappings by using a scalarization method and a density result. The results improve the corresponding ones in the literature. Some examples are given to illustrate our results.
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页码：597 / 610
页数：13
相关论文
共 37 条
[1]  
Anh L.Q.(2008)Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks I: uper semicontinuities Set Valued Anal. 16 267-279
[2]  
Khanh P.Q.(2008)Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks II: lower semicontinuities applications Set Valued Anal. 16 943-960
[3]  
Anh L.Q.(2010)Continuity of solution maps of parametric quasiequilibrium problems J. Glob. Optim. 46 247-259
[4]  
Khanh P.Q.(2008)Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems J. Glob. Optim. 41 539-558
[5]  
Anh L.Q.(2010)On the solution continuity of parametric generalized systems Pac. J. Optim. 6 141-151
[6]  
Khanh P.Q.(2009)Solution semicontinuity of parametric generalized vector equilibrium problems J. Glob. Optim. 45 309-318
[7]  
Anh L.Q.(2005)Global stability results for the weak vector variational inequality J. Glob. Optim. 32 543-550
[8]  
Khanh P.Q.(1989)A minimax theorem for vector-valued functions J. Optim. Theory Appl. 60 19-31
[9]  
Chen C.R.(2005)Vector equilibrium problems, existence theorems and convexity of solution set J. Glob. Optim. 31 109-119
[10]  
Li S.J.(2008)Continuity of the solution set to parametric weak vector equilibrium problems J. Optim. Theory Appl. 139 35-46
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