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| 参数字典序向量平衡问题的下半连续性(英文) | |
| 引用本文： | 方志苗,张宇,陈桃.参数字典序向量平衡问题的下半连续性(英文)[J].华东师范大学学报(自然科学版),2013,2013(2):131-135,145. |
| 作者姓名： | 方志苗 张宇 陈桃 |
| 作者单位： | 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 |
| 基金项目： | 重庆市科委自然科学基金 |
| 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 |
| 收稿时间： | 2012-03-01 |
Lower semicontinuity to parametric lexicographic vector equilibrium problems |
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| FANG Zhi-miao , ZHANG Yu , CHEN Tao.Lower semicontinuity to parametric lexicographic vector equilibrium problems[J].Journal of East China Normal University(Natural Science),2013,2013(2):131-135,145. | |
| Authors: | FANG Zhi-miao ZHANG Yu CHEN Tao |
| Institution: | 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 |
| 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. |
| Keywords: | lexicographic vector equilibrium problem lower semicontinuity lexicographic cone |
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