| FC-空间内的广义向量变分型不等式 |
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| 引用本文： | 方敏,丁协平.FC-空间内的广义向量变分型不等式[J].应用数学和力学,2006,27(11):1271-1279. |
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| 作者姓名： | 方敏 丁协平 |
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| 作者单位： | 1. 四川大学,数学学院,成都,610064
2. 四川师范大学,数学与软件科学学院,成都,610066 |
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| 摘 要： | 在FC空间中引入和研究了一类广义向量变分型不等式（GVVTIP），包含了大多数向量平衡问题，向量变分不等式问题，广义向量平衡问题和广义向量变分不等式问题作为特殊情况．利用F-KKM定理，在非紧FC-空间中，建立了关于GVVTIP解的某些新的存在定理．这些定理统一、改进和推广了文献中的一些重要的已知结果．
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| 关 键 词： | 广义向量变分型不等式 F-KKM映射 F-Px-对角拟凸 FC-空间 |
| 文章编号： | 1000-0887（2006）11-1271-09 |
| 收稿时间： | 2005-11-01 |
| 修稿时间： | 2006-08-06 |
Generalized Vector Variational-Type Inequalities in FC-Spaces |
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| FANG Min,DING Xie-ping.Generalized Vector Variational-Type Inequalities in FC-Spaces[J].Applied Mathematics and Mechanics,2006,27(11):1271-1279. |
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| Authors: | FANG Min DING Xie-ping |
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| Institution: | l. College of Mathematics, Sichuan University, Chengdu 610064, P. R. China; 2. College of Mathematics and Soflware Science, Sichuan Normal University, Chengdu 610055, P. R. China |
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| Abstract: | A class of generalized vector variational-type inequality problems(in short,GVVTIP) are studied in FC-spaces,which include most of vector equilibrium problems,vector variational inequality problems,generalized vector equilibrium problems and generalized vector variational inequality problem as special cases.By using F-KKM theorem,some new existence results for GVVTIP are established in noncompact FC-space.As consequences,some recent known results in literature are obtained under much weaker assumption. |
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| Keywords: | generalized vector variational-type inequality F-KKM mapping F-Px-diagonaUy quasiconvex FU-space |
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