| 向量拟均衡问题解集的连通性 |
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| 引用本文： | 范丽亚,李爱芹.向量拟均衡问题解集的连通性[J].山东大学学报(理学版),2010,45(2):61-65. |
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| 作者姓名： | 范丽亚 李爱芹 |
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| 作者单位： | 聊城大学数学科学学院,山东,聊城,252059 |
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| 基金项目： | 国家自然科学基会资助项目，教育部科学技术研究项目 |
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| 摘 要： | 引入带有集值映射的向量拟均衡问题的f-有效解的概念,并在Hausdorff拓扑向量空间中利用标量化的方法研究了向量拟均衡问题解集的连通性。
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| 关 键 词： | 向量拟均衡问题 解集的连通性 不动点定理 凸集分离定理 |
| 收稿时间： | 2009-02-21 |
The connectedness of solution set for vector quasi-equilibrium problems |
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| FAN Li-ya,LI Ai-qin.The connectedness of solution set for vector quasi-equilibrium problems[J].Journal of Shandong University,2010,45(2):61-65. |
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| Authors: | FAN Li-ya LI Ai-qin |
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| Institution: | School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China |
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| Abstract: | The concept of an f-efficient solution is introduced for a vector quasi-equilibrium problem with set-valued mappings.The connectedness of a solution set for the vector quasi-equilibrium problem is studied by means of a scalarized method in the setting of Hausdorff topological vector spaces. |
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| Keywords: | vector quasi-equilibrium problem connectedness of solution set fixed-point theorem separation theorem of convex set |
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