| 集值向量映射的对称均衡问题与鞍点 |
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| 引用本文： | 傅俊义,张席敬. 集值向量映射的对称均衡问题与鞍点[J]. 南昌大学学报(理科版), 2005, 29(5): 416-418,421 |
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| 作者姓名： | 傅俊义 张席敬 |
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| 作者单位： | 1. 南昌大学,数学系,江西,南昌,330047
2. 东华理工学院,计算科学系,江西,抚州,344000 |
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| 基金项目： | 江西省自然科学基金资助项目（0211035） |
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| 摘 要： | 介绍一类新的集值向量映射的对称均衡问题，利用数值方法和不动点定理，得到其存在定理。作为应用，得到向量松散鞍点与向量鞍点的存在性。
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| 关 键 词： | 对称向量均衡问题 松散鞍点 数值化方法 G凸空间 |
| 文章编号： | 1006-0464（2005）05-0416-03 |
| 收稿时间： | 2004-12-16 |
| 修稿时间： | 2004-12-16 |
SYMMETRIC EQUILIBRIUM PROBLEMS AND SADDLE POINTS FOR VECTOR SET-VALUED MAPPINGS |
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| FU Jun-yi,ZHANG Xi-jing. SYMMETRIC EQUILIBRIUM PROBLEMS AND SADDLE POINTS FOR VECTOR SET-VALUED MAPPINGS[J]. Journal of Nanchang University(Natural Science), 2005, 29(5): 416-418,421 |
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| Authors: | FU Jun-yi ZHANG Xi-jing |
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| Affiliation: | 1. Department of Mathemties, Nanehang University, Nanehang 330047, China ; 2. Department of Computational Science, East China Institute of Technology, Fuzhou 344000,China |
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| Abstract: | A new type of symmetric vector equitibrium problem for set-valued mappings on G-convex spaces is presented, and by using the scalarization method and fixed point theorem its existence theorem is obtained. As its appticatian, vector loose saddle points and vector saddle points for set-valued mappings on G-convex space are reduced. |
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| Keywords: | symmetric vector eguilibrium problem loose saddle point scalarization method G-convex space |
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