| 含参集值向量均衡问题全局有效解映射和Henig有效解映射的下半连续性 |
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| 引用本文： | 乐华明,陈斌,龚循华.含参集值向量均衡问题全局有效解映射和Henig有效解映射的下半连续性[J].南昌大学学报(理科版),2009,33(2):1. |
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| 作者姓名： | 乐华明 陈斌 龚循华 |
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| 作者单位： | 南昌大学数学系； 赣州一中； |
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| 基金项目： | 国家自然科学基金，江西自然科学基金 |
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| 摘 要： | 在赋范线性空间中,引进了含参集值向量均衡问题全局有效解和Henig有效解的概念,得到了含参集值向量均衡问题的全局有效解集和Henig有效解集的标量化结果;并在标量化结果的基础上,研究了含参集值向量均衡问题全局有效解映射和Henig有效解映射的下半连续性。
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| 关 键 词： | 下半连续 含参集值向量均衡问题 全局有效解 Henig有效解 |
The Lower Semi-continuity of the Global Efficient Solution Mapping and Henig Efficient Solution Mapping for the Parametric Set-valued Vector Equilibrium Problems |
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| YUE Hua-ming,CHEN Bin,GONG Xun-hua.The Lower Semi-continuity of the Global Efficient Solution Mapping and Henig Efficient Solution Mapping for the Parametric Set-valued Vector Equilibrium Problems[J].Journal of Nanchang University(Natural Science),2009,33(2):1. |
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| Authors: | YUE Hua-ming CHEN Bin GONG Xun-hua |
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| Institution: | 1.Department of Mathematics;Nanchang University;Nanchang 330031;China;2.Ganzhou 1th Middle School;Jiangxi Ganzhou 341000;China |
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| Abstract: | In the normed linear space,it introduces the concept of global efficient solution and Henig efficient solution for the parametric set-valued vector equilibrium problems,and obtains the scalarization results of the global efficient solution and Henig efficient solution for the parametric set-valued vector equilibrium problems.Basing on the scalarization results,it studies the lower semi-continuity of the global efficient solution mapping and Henig efficient solution mapping for the parametric set-valued vect... |
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| Keywords: | parametric set-valued vector equilibrium problems Henig efficient solution global efficient solution lower semi-continuity |
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