| 李静哲,梁红卫,赵丹.扰动广义向量平衡问题解集的下半连续性[J].数学研究及应用,2011,31(3):411~419 |
| 扰动广义向量平衡问题解集的下半连续性 |
| Lower Semicontinuity of the Solution Sets to Parametric Generalized Vector Equilibrium Problems |
| 投稿时间：2009-12-20 修订日期：2010-11-20 |
| DOI：10.3770/j.issn:1000-341X.2011.03.004 |
| 中文关键词: 扰动广义向量平衡问题 下半连续性 标量化. |
| 英文关键词:parametric generalized vector equilibrium problems lower semicontinuity scalarization. |
| 基金项目:中央高校基本科研业务费资助(Grant No.CDJXS10100008). |
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| 中文摘要: |
| 在我们这篇文章里,通过用标量化方法,在一种比C-严格单调性弱的条件下研究两种扰动广义向量平衡问题解集的下半连续性.我们的结果拓展了相应的一些结论.在文章中我们会给出例子来说明. |
| 英文摘要: |
| In this paper, by a scalarization method, the lower semicontinuity of the solution mappings to two kinds of parametric generalized vector equilibrium problems involving set-valued mappings is established under new assumptions which are weaker than the $C$-strict monotonicity. These results extend the corresponding ones. Some examples are given to illustrate our results. |
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