| 广义向量拟平衡问题解集映射的稳定性 |
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| 引用本文： | 王丽娜,李声杰.广义向量拟平衡问题解集映射的稳定性[J].数学的实践与认识,2009,39(3). |
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| 作者姓名： | 王丽娜 李声杰 |
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| 作者单位： | 重庆大学,数理学院,重庆,400044 |
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| 基金项目： | 国家自然科学基金，重庆市科委自然科学基金 |
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| 摘 要： | 我们在局部凸Hausdorff拓扑向量空间中,讨论了广义向量拟平衡问题解集映射的上半连续性以及闭性,并利用扰动间隙函数证明解集的Hausdorff下半连续性.
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| 关 键 词： | 广义向量拟平衡问题 上半连续 Hausdorff下半连续性 扰动间隙函数 非线性标量函数 |
The Stability of Solution Set Maps to Generalized Vector Quasi-equilibrium Problems |
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| WANG Li-na,LI Sheng-jie.The Stability of Solution Set Maps to Generalized Vector Quasi-equilibrium Problems[J].Mathematics in Practice and Theory,2009,39(3). |
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| Authors: | WANG Li-na LI Sheng-jie |
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| Abstract: | This paper deals with the semicontinuities and closedness of the solution set maps to generalized vector quasi-equilibrium problem in locally convex Hausdorff topological vector spaces.By using a perturbed gap function,the Hausdorff lower semicontinuity of the solution set maps are established. |
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| Keywords: | generalized vector quasi-equilibrium problems upper semicontinuity Hausdorff lower semicontinuity perturbed gap function nonlinear scalarization function |
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