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严有效点与Henig真有效点
引用本文:丘京辉,张申媛.严有效点与Henig真有效点[J].数学杂志,2005,25(2):203-209.
作者姓名:丘京辉  张申媛
作者单位:苏州大学数学系,江苏,苏州,215006
摘    要:文章证明了严有效点等价于Henig真有效点.利用这个等价关系,得到了局部凸空间中Henig真有效点的存在性条件。纯量化特征和稠密性定理.并且改进了已知的有关结果.

关 键 词:局部凸空间  Henig真有效点  严有效点
文章编号:0255-7797(2005)02-0203-07

STRICTLY EFFICIENT POINTS AND HENIG PROPER EFFICIENT POINTS
QIU Jing-hui,ZHANG Shen-yuan.STRICTLY EFFICIENT POINTS AND HENIG PROPER EFFICIENT POINTS[J].Journal of Mathematics,2005,25(2):203-209.
Authors:QIU Jing-hui  ZHANG Shen-yuan
Abstract:We prove that strictly efficient points are indeed equivalent to Henig proper efficient points. Using this equivalent relationship, we obtain the existence property, scalar characterization and density theorems of Henig proper efficient points in locally convex spaces, which improve known related results.
Keywords:locally convex spaces  Henig proper efficient points  strictly efficient points
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