| 集值映象簇的不动点定理在广义矢量拟平衡问题组中的应用 |
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| 引用本文： | 李林珂,丁协平.集值映象簇的不动点定理在广义矢量拟平衡问题组中的应用[J].四川师范大学学报(自然科学版),2006,29(6):639-643. |
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| 作者姓名： | 李林珂 丁协平 |
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| 作者单位： | 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： | 四川省教育厅自然科学基金 |
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| 摘 要： | 在G-凸空间内引入了新的广义矢量拟平衡组问题，并运用非紧乘积G-凸空间内集值映象簇的不动点定理证明了这些广义矢量拟平衡问题组的平衡点的存在性．这些结论进一步推广了不动点定理的一些应用．
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| 关 键 词： | 集值映象簇 集值映象簇的不动点定理 广义矢量拟平衡问题组 乘积G-凸空间 |
| 文章编号： | 1001-8395（2006）06-0639-05 |
| 收稿时间： | 2005-01-06 |
| 修稿时间： | 2005年1月6日 |
Fixed Point Theorem of Set-valued Mappings with Applications to System of Generalized Vector Quasi-equilibrium Problems |
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| LI Lin-ke,DING Xie-ping.Fixed Point Theorem of Set-valued Mappings with Applications to System of Generalized Vector Quasi-equilibrium Problems[J].Journal of Sichuan Normal University(Natural Science),2006,29(6):639-643. |
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| Authors: | LI Lin-ke DING Xie-ping |
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| Institution: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | In this paper, some new systems of generalized vector quasi-equilibrium problems are introduced in G-convex space. By applying the fixed point theorem of set-valued mappings of nocompact product G-convex space, some new existence theorems of system of generalized vector quasi-equilibrlum problems are proved. These theorems improve and generalize some existing results of equilibrium and quasi-equilibrium problems in abstract convex spaces. |
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| Keywords: | A family of set-valued mappings Fixed point theorem of set-valued mappings System of generalized vector quasi-equilibrium problems Product G-convex space |
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