| 集值映射的对称向量拟均衡问题 |
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| 引用本文： | 傅俊义,王三华.集值映射的对称向量拟均衡问题[J].应用数学学报,2011,34(1). |
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| 作者姓名： | 傅俊义 王三华 |
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| 作者单位： | 1. 南昌大学数学系,南昌,330031;南昌大学科技学院,南昌,330029
2. 南昌大学数学系,南昌,330031 |
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| 基金项目： | 国家自然科学基金，江西省教育厅青年科学基金 |
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| 摘 要： | 研究向量集值映射的拟均衡问题的有效解,利用数值化方法与不动点定理,得到解的存在性定理.作为应用,得到广义向量鞍点,向量变分不等式与向量互补问题的存在性定理.
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| 关 键 词： | 集值映射 对称向量拟均衡问题 广义向量鞍点 向量变分不等式 向量互补问题 |
Symmetric Vector Quasi-equilibrium Problems for Set-valued Mappings |
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| FU JUNYI,WANG SANHUA.Symmetric Vector Quasi-equilibrium Problems for Set-valued Mappings[J].Acta Mathematicae Applicatae Sinica,2011,34(1). |
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| Authors: | FU JUNYI WANG SANHUA |
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| Institution: | FU JUNYI (Department of Mathematics,Nanchang University,Nanchang 330031) (College of Science and Technology,Nanchang 330029) WANG SANHUA (Department of Mathematics,Nanchang 330031) |
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| Abstract: | The efficient solution of symmetric vector quasi-equilibrium problem for set-valued mappings is introduced.By using the scalarization method and fixed point theorem, existence theorems are obtained.As applications,existence theorems for new types of generalized vector saddle points,vector variational inequality,and vector complementarity problem are established. |
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| Keywords: | set-valued mapping symmetric vector equilibrium problem generalized vector saddle point vector variational inequality vector complementarity problem |
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