| Stampacchia向量均衡问题与向量相补问题 |
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| 引用本文： | 傅俊义,王三华.Stampacchia向量均衡问题与向量相补问题[J].数学进展,2007,36(3):339-348. |
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| 作者姓名： | 傅俊义 王三华 |
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| 作者单位： | 南昌大学数学系,南昌,江西,330047 |
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| 摘 要： | 引进Stampacchia向量均衡问题与一种新的向量相补问题．用数值方法,得到它们的存在定理,并讨论Stampacchia广义向量变分不等式,向量隐相补问题与极小元问题的关系．
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| 关 键 词： | Stampacchia向量均衡问题 向量相补问题 极小元问题 仿紧空间 拓朴向量空间 |
| 文章编号： | 1000-0917（2007）03-0339-10 |
| 修稿时间： | 2005-12-21 |
Stampacchia Vector Equilibrium Problems and Vector Complementarity Problems |
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| FU Junyi,WANG Sanhua.Stampacchia Vector Equilibrium Problems and Vector Complementarity Problems[J].Advances in Mathematics,2007,36(3):339-348. |
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| Authors: | FU Junyi WANG Sanhua |
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| Affiliation: | Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330047, P. R. China |
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| Abstract: | The Stampacchia vector equilibrium problem and a new type of vector com- plementarity problem are introduced.By using the scalarization method,their existence theo- rems are obtained.The relations among Stampacchia generalized vector variational inequality, vector implicit complementarity problem and minimal element problem are discussed. |
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| Keywords: | Stampacchia vector equilibrium problem vector complementarity problem minimal element problem paracompact space topological vector space |
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