| On Generalized Vector Equilibrium Problems |
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| 引用本文： | An-hua Wan Jun-yi Fu Wei-hua Mao. On Generalized Vector Equilibrium Problems[J]. 应用数学学报(英文版), 2006, 22(1): 21-26. DOI: 10.1007/s10255-005-0280-5 |
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| 作者姓名： | An-hua Wan Jun-yi Fu Wei-hua Mao |
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| 作者单位： | [1]Department of Applied Mathematics, South China Agricultural University, Guangzhou 510642, China [2]Department of Mathematics, Nanchang University, NaIlchang, 330047, China |
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| 基金项目： | Supported by the Natural Science Foundation of Jiangxi Province （No. 0211035） and Principal Foundations of South China Agricultural Univcrsity （No.2004K055, No.2005K023）. |
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| 摘 要： | ![]()
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| 关 键 词： | 向量平衡 集值映射 拓扑向量空间 KKM理论 |
| 收稿时间： | 2003-03-04 |
| 修稿时间： | 2003-03-04 |
On Generalized Vector Equilibrium Problems |
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| An-hua Wan,Jun-yi Fu,Wei-hua Mao. On Generalized Vector Equilibrium Problems[J]. Acta Mathematicae Applicatae Sinica, 2006, 22(1): 21-26. DOI: 10.1007/s10255-005-0280-5 |
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| Authors: | An-hua Wan Jun-yi Fu Wei-hua Mao |
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| Affiliation: | (1) Department of Applied Mathematics, South China Agricultural University, Guangzhou 510642, China;(2) Department of Mathematics, Nanchang University, Nanchang, 330047, China |
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| Abstract: | ![]()
A new generalized vector equilibrium problem involving set-valued mappings and the proper quasi concavity of set-valued mappings in topological vector spaces are introduced; its existence theorems and the convexity of the solution sets are established. |
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| Keywords: | Vector equilibrium problem set-valued mapping topological vector space KKM theorem |
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