| Stampacchia 广义向量拟均衡问题II |
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| 引用本文： | 王三华,傅俊义.Stampacchia 广义向量拟均衡问题II[J].系统科学与数学,2009,29(4):567-576. |
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| 作者姓名： | 王三华 傅俊义 |
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| 作者单位： | 南昌大学数学系, 南昌 330031 |
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| 摘 要： | 通过引进锥对角拟凸概念, 讨论了Stampacchia 广义向量拟均衡问题解的存在性.由于该问题包含了许多形式的变分不等式与均衡问题作为特例,所得解的存在性结果推广和发展了近期的一些研究结果,主要有以下两个方面: 1)放宽了对连续性的要求; 2)由数值型推广到了向量型.
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| 关 键 词： | 广义向量拟均衡问题 局部凸空间 $C$-对角拟凸 连续选择 不动点. |
| 收稿时间： | 2006-7-13 |
Stampacchia Generalized Vector Quasi-Equilibrium Problem II |
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| WANG Sanhua,FU Junyi.Stampacchia Generalized Vector Quasi-Equilibrium Problem II[J].Journal of Systems Science and Mathematical Sciences,2009,29(4):567-576. |
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| Authors: | WANG Sanhua FU Junyi |
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| Institution: | Department of Mathematics, Nanchang University, Nanchang 330031 |
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| Abstract: | In this article, the Stampacchia generalized vector quasi-equilibrium problem is introduced, and the existence of solution is studied by virtue of the new concept of $C$-diagonally quasi-convex. Since the problem includes many variational inequality problems and equilibrium problems as special cases, the existence theorems extend and improve some existing results in the recent references: 1) releasing the restriction to the continuity of the mapping; 2) extending the mapping from numeric type to vector type. |
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| Keywords: | Generalized vector quasi-equilibrium problem locally convex space $C$-diagonally quasi-convex continuous selection fixed point |
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