| 集值映射下一类广义向量均衡问题解的存在性 |
| |
| 引用本文： | 陈玉英,肖为胜.集值映射下一类广义向量均衡问题解的存在性[J].南昌大学学报(理科版),2006,30(4):318-321. |
| |
| 作者姓名： | 陈玉英 肖为胜 |
| |
| 作者单位： | 1. 南昌工程学院,理学系,江西,南昌,330099
2. 南昌陆军学院,科文教研室,江西,南昌,330103 |
| |
| 摘 要： | 研究集值映射下一类广义向量均衡问题，通过建立一种新的弱半连续及类凸的概念，引进集值映射下推广的Minty引理，利用KKM定理讨论了广义向量均衡问题解的存在性。
|
| 关 键 词： | 变分不等式 Minty引理 均衡问题 单调 弱半连续 |
| 文章编号： | 1006-0464（2006）04-0318-04 |
| 收稿时间： | 2005-09-26 |
| 修稿时间： | 2005年9月26日 |
The Existence of Solution Sets of Generalized Vector Equilibrium Problems with Set- Valued Mappings |
| |
| CHEN Yu-ying,XIAO Wei-sheng.The Existence of Solution Sets of Generalized Vector Equilibrium Problems with Set- Valued Mappings[J].Journal of Nanchang University(Natural Science),2006,30(4):318-321. |
| |
| Authors: | CHEN Yu-ying XIAO Wei-sheng |
| |
| Institution: | 1. Department of Information, Nanchang Institute of Technology 330099, China; 2. Department of Science and Arts ,Nanchang Military Academy 330103 ,China |
| |
| Abstract: | This paper studies the generalized vector equilibrium problems with set-valued mappings. By introducing of hemi-continuity and some convexity with set-valued mappings, It obtains the Minty lemma with set-valued mappings. It discusses the existence of solution of generalized vector equilibrium problems by using KKM theorem. |
| |
| Keywords: | vector equilibrium problems vector variational inequality minty lemma vector equilibrium problems monotonicity hemi-contimuity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
