| 一类集值映射的向量均衡问题 |
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| 引用本文： | 丁体明.一类集值映射的向量均衡问题[J].应用数学学报,2007,30(5):794-799. |
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| 作者姓名： | 丁体明 |
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| 作者单位： | 四川农业大学数学系,雅安,625014 |
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| 基金项目： | 致谢作者衷心感谢审稿专家提出的宝贵的修改意见. |
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| 摘 要： | 在拓扑向量空间内,研究了一类新的集值映射的广义向量均衡问题,利用KKM定理,证明了解的几个存在性定理,并讨论了解的性状.所得结果推广了近期一些作者的研究成果.
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| 关 键 词： | 向量均衡问题 拓扑向量空间 KKM映射 |
| 修稿时间： | 2005-04-02 |
A Class of Vector Equilibrium Problem for Multi-valued Mapping |
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| DING TIMING.A Class of Vector Equilibrium Problem for Multi-valued Mapping[J].Acta Mathematicae Applicatae Sinica,2007,30(5):794-799. |
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| Authors: | DING TIMING |
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| Affiliation: | Department of Mathematics, Sichuan Agricultural University, Yaan 625014 |
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| Abstract: | In the topological vector space, a new class of vector equilibrium problem for multi-valued mapping is introduced and studied. By using KKM theorem, some existence theorems of solutions for this kind of problems are proved and some properties of solutions are analyzed. The results presented in this paper extend some recent results in this field. |
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| Keywords: | vector equilibrium problem topological vector space KKM mapping |
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