| FC-空间中含伪单调集值映象的广义向量平衡问题 |
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| 引用本文： | 冯海荣,丁协平.FC-空间中含伪单调集值映象的广义向量平衡问题[J].应用泛函分析学报,2009,11(2):97-105. |
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| 作者姓名： | 冯海荣 丁协平 |
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| 作者单位： | 1. 西南交通大学经济管理学院,四川,成都,610031
2. 四川师范大学数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | Foundation item： The second author was supported by the NSF of Sichuan Education Department of China （2003A081） |
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| 摘 要： | 在FC-空间内引入和研究了几类含伪单调集值映象的广义向量平衡问题．利用第二作者的KKM定理，在FC空间内对这些广义向量平衡问题证明了平衡点的存在性定理，改进与推广了近期文献中的相应结果．
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| 关 键 词： | 广义向量平衡问题 广义R-KKM映象 伪单调集值映象 FC-空间 |
Generalized Vector Equilibrium Problems with Pseudomonotone Set-valued Bifunctions in FC-spaces |
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| FENG Hai-rong,DING Xie-ping.Generalized Vector Equilibrium Problems with Pseudomonotone Set-valued Bifunctions in FC-spaces[J].Acta Analysis Functionalis Applicata,2009,11(2):97-105. |
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| Authors: | FENG Hai-rong DING Xie-ping |
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| Institution: | 1. School of Economics and Management, Southwest Jiaotong University, Chengdu 610031, China 2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China) |
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| Abstract: | We study some classes of generalized vector equilibrium problems with pseudomonotone set-valued bifunctions in FC-spaces. By using an KKM theorem due to second author, some existence results of equilibrium points for the generalized vector equilibrium problems are established in FC-spaces. These results generalize many known results in recent literature. |
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| Keywords: | generalized vector equilibrium problems generalized R-KKM mapping pseudomonotone set-valued bifunction FC-space |
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