| 含参广义集值强向量平衡问题的稳定性 |
| |
| 引用本文： | 李科科,彭再云,赵勇,曾静.含参广义集值强向量平衡问题的稳定性[J].数学学报,2019,62(4):653-662. |
| |
| 作者姓名： | 李科科 彭再云 赵勇 曾静 |
| |
| 作者单位： | 1. 四川大学数学学院 成都 610064;
2. 重庆师范大学数学科学学院 重庆 400047;
3. 重庆交通大学数学与统计学院 重庆 400074;
4. 重庆工商大学数学与统计学院 重庆 400067 |
| |
| 基金项目： | 国家自然科学基金（11471059）；重庆市基础与前沿研究项目（cstc2016jcyjA0219，cstc2017jcyjAX0382，cstc2018jcyjAX0337）；重庆市创新团队项目（CXTDX201601022）；重庆市巴渝学者计划项目重庆市教委科研课题（KJQN201800744，KJQN201800837）；重庆交通大学创新团队项目（优化理论与应用）；重庆交通大学科研与创新项目（2018PY21，201810618104）及科研启动项目（2020018038） |
| |
| 摘 要： | 本文借助集合极限的性质和弱f-性假设证明了含参广义集值强向量平衡问题解集映射的下半连续性,其方法不同于最近文献(Zhao,2016和Meng,2018).此外,建立了含参广义集值强向量平衡问题解集连通性的充分条件,并举例验证了所得结果的正确性.本文得结果推广和改进了已有文献(Gong,2008,Xu,2009,Chen,2010,Xu,2013和Zhao,2013)中相应结果.
|
| 关 键 词： | 含参广义集值强向量平衡问题 f-有效解 弱f-有效解 下半连续性 连通性 |
The Stability of Solution Set Mappings to Parametric Generalized Set-Valued Strong Equilibrium Problems |
| |
| Ke Ke LI,Zai Yun PENG,Yong ZHAO,Jing ZENG.The Stability of Solution Set Mappings to Parametric Generalized Set-Valued Strong Equilibrium Problems[J].Acta Mathematica Sinica,2019,62(4):653-662. |
| |
| Authors: | Ke Ke LI Zai Yun PENG Yong ZHAO Jing ZENG |
| |
| Institution: | 1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China;
2. School of Mathematical Sciences, Chongqing Normal University, Chongqing 400047, P. R. China;
3. College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, P. R. China;
4. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P. R. China |
| |
| Abstract: | In this study, the lower semicontinuity of solution mappings to parametric generalized set-valued strong vector equilibrium problems is proved, by employing properties of the limit to set-valued mapping and the assumption of weakf-property, which method is different from the recent ones (Zhao, 2016 and Meng, 2018). Moreover, a sufficient condition of the solution sets to parametric generalized set-valued strong vector equilibrium problems is established, and examples are also given for the illustration of the correctness to the obtained results. The obtained results generalize and improve the ones in the literature (Gong, 2008, Xu, 2009, Chen, 2010, Xu, 2013 and Zhao, 2013). |
| |
| Keywords: | parametric generalized set-valued strong vector equilibrium problem fefficient solution weak f-efficient solution lower semicontinuity connectedness |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|
