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一个关于凸集强分离的充分必要条件及其应用

One Necessary and Sufficient Condition on Convex Sets Being Strongly Separated and its Applications
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摘要 该文首先给出了关于两个非紧凸集可被强分离的充分必要条件,它是[1,2]中一个定理的改进,然后利用它改进了[4-7]中一些定理和[8]中的一个结果. In this paper,first step,we have obtained one necessary and sufficent condition on noncompact convex sets being strongly separated, it is an improvement of some theorems in [1,2]. Second step, by using the results obtained in first step, we have improved some theorems in [4-7]and one result in[8].
作者 杨干山
出处 《数学物理学报(A辑)》 CSCD 北大核心 1997年第S1期102-107,共6页 Acta Mathematica Scientia
关键词 渐近面 公共渐近面 强分离 边界紧集 asymptotic plane, public asymptotic plane, strongly separated, sets with compact border
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参考文献5

  • 1俞建.Fan K_y 引理的推广及其应用[J]应用数学学报,1988(04).
  • 2Jiang Jiahe.Fixed point theorems for paracompact convex sets[J]. Acta Mathematica Sinica . 1988 (1)
  • 3Jiang Jiahe.Fixed point theorems for multivalued mappings in locally convex spaces. Acta Mathematica Sinica . 1982
  • 4Aubin J P,Ekeland J.APPlied nonlinear analysis. . 1984
  • 5Fan Ky.Fixed-point and related theorems for non-compact convex sels.In:Moeschlin O.Pallschke D.Game Theoryand Related To-pics.Amsterdam:North-Holland publ. Co . 1979

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