华东师范大学学报(自然科学版) ›› 2013, Vol. 2013 ›› Issue (2): 131-135, 145.

• 数学 • 上一篇    下一篇

参数字典序向量平衡问题的下半连续性

方志苗1, 张 宇2, 陈 桃3   

  1. 1. 重庆警察学院~~基础教研部, 重庆 401331; 2.
    重庆大学~~数学与统计学院, 重庆 401331;
    3. 云南广播电视大学~~开放教育学院, 云南~~昆明 650223
  • 收稿日期:2012-03-01 修回日期:2012-06-01 出版日期:2013-03-25 发布日期:2013-03-20

Lower semicontinuity to parametric lexicographic vector equilibrium problems

FANG Zhi-miao 1, ZHANG Yu 2, CHEN Tao 3   

  1. 1. Department of Basic Courses, Chongqing Police College, Chongqing 401331, China;
    2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China;
    3. Open Education Institute, Yunnan Radio and TV University, Kunming 650223, China
  • Received:2012-03-01 Revised:2012-06-01 Online:2013-03-25 Published:2013-03-20

摘要: 首先介绍由字典锥所构造的参数向量平衡问题. 进而,
基于稠密性结果,
通过构造一个辅助问题的方法得到了参数字典序意义下向量平衡问题解集映射的下半连续性.

关键词: 字典序向量平衡问题, 下半连续, 字典锥

Abstract: In this paper, a parametric vector equilibrium problem in a
lexicographic order was first introduced. Then, by using an
auxiliary problem, the lower semicontinuity of the solution set map
was established based on the density of the solution set mapping for
a parametric lexicographic vector equilibrium problem.

Key words: lexicographic vector equilibrium problem, lower semicontinuity, lexicographic cone

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