| 一类隐式集值向量均衡问题解的存在性和解集的稳定性 |
| |
| 引用本文： | 李秋英,王三华.一类隐式集值向量均衡问题解的存在性和解集的稳定性[J].系统科学与数学,2011,31(1). |
| |
| 作者姓名： | 李秋英 王三华 |
| |
| 作者单位： | 1. 南昌大学科学技术学院,南昌,330029
2. 南昌大学数学系,南昌,330031 |
| |
| 基金项目： | 国家自然科学基金(11061023,11071108); 江西省教育厅青年科学基金(GJJ10086); 江西省自然科学基金(2010GZS0145)资助项目 |
| |
| 摘 要： | 研究一类隐式集值向量均衡问题,它是隐式向量均衡问题、隐式变分不等式问题、隐式相补问题、向量均衡问题和向量变分不等式问题等的推广.利用截口定理,在Hausdorff拓扑线性空间的非紧子集上得出了一些隐式集值向量均衡问题解的存在性结果.并且还讨论了该隐式集值向量均衡问题解集的通有稳定性.这些结果推广和统一了近期的一些相关结果.
|
| 关 键 词： | 隐式集值向量均衡问题 存在性 稳定性 上半连续性 下半连续性 |
EXISTENCE AND STABILITY FOR A CLASS OF IMPLICIT SET-VALUED VECTOR EQUILIBRIUM PROBLEMS |
| |
| LI Qiuying,WANG Sanhua.EXISTENCE AND STABILITY FOR A CLASS OF IMPLICIT SET-VALUED VECTOR EQUILIBRIUM PROBLEMS[J].Journal of Systems Science and Mathematical Sciences,2011,31(1). |
| |
| Authors: | LI Qiuying WANG Sanhua |
| |
| Institution: | LI Qiuying (College of Science and Technology,Nanchang University,Nanchang 330029) WANG Sanhua (Department of Mathematics,Nanchang 330031) |
| |
| Abstract: | In this paper,a class of implicit set-valued vector equilibrium problems is introduced and studied,which includes implicit vector equilibrium problems,implicit variational inequalities,implicit complementarity problems,vector equilibrium problems,vector variational inequalities as special cases.By using the section theorem,some existence results for implicit set-valued vector equilibrium problems are obtained on a noncompact subset of a Haudorff topological vector space.Furthermore,the stability of solution... |
| |
| Keywords: | Implicit set-valued vector equilibrium problem existence stability upper semicontinuity lower semicontinuity |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
