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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
The Lower Semi-continuity of the Global Efficient Solution Mapping and Henig Efficient Solution Mapping for the Parametric Set-valued Vector Equilibrium Problems
【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。
【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 vector equilibrium problems.
【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;
【Key words】 parametric set-valued vector equilibrium problems; Henig efficient solution; global efficient solution; lower semi-continuity;
【Key words】 parametric set-valued vector equilibrium problems; Henig efficient solution; global efficient solution; lower semi-continuity;
【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)
- 【文献出处】 南昌大学学报(理科版) ,Journal of Nanchang University(Natural Science) , 编辑部邮箱 ,2009年02期
- 【分类号】O177
- 【被引频次】4
- 【下载频次】60