On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem

被引：29
|
作者：
Xu, Y. D. [1 ]
Li, S. J. [1 ,2 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[2] Math Sci Res Inst Chongqing, Chongqing 401331, Peoples R China
来源：
POSITIVITY | 2013年 / 17卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Lower semicontinuity; Parametric generalized strong vector equilibrium problem; f-efficient solutions; Scalarization; EFFICIENT SOLUTIONS; SOLUTION SET; CONTINUITY; STABILITY;
D O I：
10.1007/s11117-012-0170-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, under new assumptions, which do not contain any information about the solution set, the lower semicontinuity of solution mappings to a parametric generalized strong vector equilibrium problem are established by using a scalarization method. These results extend and generalize the corresponding ones in Gong and Yao (J Optim Theory Appl 138:197-205, 2008), Chen and Li (Pac J Optim 6:141-151, 2010) and Li et al. (2012, submitted). Some examples are given to illustrate our results.
引用
收藏
页码：341 / 353
页数：13
相关论文
共 50 条
12345