A note on solution lower semicontinuity for parametric generalized vector equilibrium problems

被引：1

作者：

Peng, Zai Yun ^{[1
]}

Lin, Zhi ^{[1
]}

Yu, Kai Zhi ^{[2
]}

Wang, Da Cheng ^{[1
]}

机构：

[1] Chongqing JiaoTong Univ, Coll Sci, Chongqing 400074, Peoples R China

[2] Southwestern Univ Finance & Econ, Sch Stat, Chengdu 611130, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

基金：

国家教育部科学基金资助;

关键词：

stability; strong solution; lower semicontinuity; parametric vector equilibrium problem; density; EFFICIENT SOLUTIONS; SOLUTION SETS; STABILITY; SYSTEMS; CONNECTEDNESS; INEQUALITY; CONTINUITY;

D O I：

10.1186/1029-242X-2014-325

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using a density technique, sufficient conditions for lower semicontinuity of strong solutions to a parametric generalized vector equilibrium problem are established, where the monotonicity is not necessary. The obtained results are different from the corresponding ones in the literature (Gong and Yao in J. Optim. Theory Appl. 138:197-205, 2008; Gong in J. Optim. Theory Appl. 139:35-46, 2008; Chen and Li in Pac. J. Optim. 6:141-151, 2010; Li and Fang in J. Optim. Theory Appl. 147:507-515, 2010; Gong and Yao in J. Optim. Theory Appl. 138:189-196, 2008). Some examples are given to illustrate the results.

引用

页数：10

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