摘要
在适当条件下,研究集值向量拟均衡问题的Global近似对偶。首先引入了具Global有效性集值向量拟均衡问题及其对偶问题,然后借助于凸集拟内部的概念,讨论了集值向量拟均衡问题的ε-Global有效解与其对偶问题的ε-Global有效解之间的关系,得到了集值向量拟均衡问题的对偶定理。
In this paper,the global approximate duality for set-valued vector quasi-equilibrium problem under appropriate conditions was discussed.The global set-vector quasi-equilibrium problem and its dual problem were introduced.Combining with the concept of quasi interior,the relationships between global efficient solutions of set-vector quasi-equilibrium problem and its dual problem were discussed.The duality theorem of global set-vector quasi-equilibrium problem was obtained.
作者
孟旭东
邓中书
龚循华
MENG Xudong DENG Zhongshu GONG Xunhua(Department of Basic Courses, Science College of Nanchang Hang kong University, Nanchang 330034 ,China Journal Clubs, Nanchang University, Nanchang 330047, China Department of Mathematics, Nanchang University, Nanehang 330031, China)
出处
《南昌大学学报（理科版）》
CAS
北大核心
2016年第6期524-527,共4页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(11061023
11201216)
中国博士后科学基金(2015M582047)
江西省自然科学基金(20151BAB201020)
江西省教育厅科学技术研究项目(GJJ161597)
关键词
集值向量拟均衡问题
Global近似对偶
拟内部
集值映射
set-vector quasi-equilibrium problems
Global approximate duality
quasi interior
set-valued mapping
