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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 被引量:3

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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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。 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 vector equilibrium problems.
出处 《南昌大学学报(理科版)》 CAS 北大核心 2009年第2期108-112,117,共6页 Journal of Nanchang University(Natural Science)
基金 国家自然科学基金资助项目(10561007) 江西自然科学基金资助项目(01110067)
关键词 含参集值向量均衡问题 全局有效解 HENIG有效解 下半连续 parametric set- valued vector equilibrium problems Henig efficient solution global efficient solution lower semi - continuity
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同被引文献28

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