| 向量拟平衡问题系统解集的强本质集及应用 |
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| 引用本文： | 宋奇庆,林亮,张志平. 向量拟平衡问题系统解集的强本质集及应用[J]. 桂林工学院学报, 2008, 28(3) |
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| 作者姓名： | 宋奇庆 林亮 张志平 |
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| 作者单位： | 1. 桂林工学院,数理系,广西,桂林,541004
2. 西华师范大学,数学与信息学院,四川,南充,637002 |
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| 基金项目： | 广西教育厅科研项目，桂林工学院硕士基金 |
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| 摘 要： | 研究了向量拟平衡问题系统解的存在性,然后引入解集的强本质性概念,得到了强本质集的存在性,作为应用引入多目标广义对策的解集中较本质性更稳定的强本质弱Pareto-Nash平衡点集并导出其存在性。
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| 关 键 词： | 向量拟平衡问题 强本质集 弱Pareto-Nash平衡点 |
Strong Essential Sets for the System of Vector Quasi-Equilibrium Problems with Application |
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| SONG Qi-Qing,LIN Liang,ZHANG Zhi-ping. Strong Essential Sets for the System of Vector Quasi-Equilibrium Problems with Application[J]. Journal of Guilin University of Technology, 2008, 28(3) |
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| Authors: | SONG Qi-Qing LIN Liang ZHANG Zhi-ping |
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| Abstract: | In this paper,the system of vector quasi-equilibrium is studied and its solution is proved.Consequently,the existence of strong essential sets for its solution sets are obtained by a notion about strong essential sets.In application,the existence of strong essential weakly Pareto-Nash equilibrium is derived with a stronger stability notion than essential weak Pareto-Nash equilibrium. |
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| Keywords: | vector quasi-equilibrium strong essential sets weakly Pareto-Nash equilibrium |
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