| 广义向量平衡问题解的通有稳定性 |
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| 引用本文： | 余孝军,杨辉. 广义向量平衡问题解的通有稳定性[J]. 贵州科学, 2007, 25(2): 22-26 |
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| 作者姓名： | 余孝军 杨辉 |
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| 作者单位： | 1. 贵州财经学院数学与统计分院,贵州,贵阳,550004
2. 贵州大学理学院,贵州,贵阳,5500025 |
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| 基金项目： | 贵州财经学院重点学科专项基金 |
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| 摘 要： | 本文研究广义向量平衡问题,得到了广义向量平衡问题解的一个存在性结果,证明了在满足一定条件的问题构成的空间M中,大多数(在Baire分类意义下)问题的解集是稳定的.
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| 关 键 词： | 广义向量平衡问题 本质解 上半C-连续 C-凹 通有稳定性 |
| 文章编号： | 1003-6563（2007）02-0022-05 |
| 收稿时间： | 2006-09-27 |
| 修稿时间： | 2006-09-27 |
THE STABILITY OF THE GENERALIZATION VECTOR EQUILIBRIUM PROBLEM |
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| YU Xiao-jun,YANG Hui. THE STABILITY OF THE GENERALIZATION VECTOR EQUILIBRIUM PROBLEM[J]. Guizhou Science, 2007, 25(2): 22-26 |
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| Authors: | YU Xiao-jun YANG Hui |
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| Affiliation: | 1. School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang 550004 ; 2. College of Science, Guizhou University, Gniyang 550025 |
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| Abstract: | In the paper,we study the generic stability of the generalized vector equilibrium problem.We proved that,in the spaces M consisting of generalized vector equilibrium problem satisfying some conditions,most solutions of generalized vector equilibrium problem(in the sense of Baire category)have stable solution,i.e,we proved the generic stability of the vector equilibrium problem. |
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| Keywords: | generalized vector equilibrium problem essential solution upper C - continuous C - concave generic stability |
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