一个关于凸集强分离的充分必要条件及其应用

数学物理学报 ›› 1997, Vol. 17 ›› Issue (S1): 102-107.

一个关于凸集强分离的充分必要条件及其应用

杨干山

云南民族学院数学系昆明 650031

收稿日期:1996-04-29 修回日期:1996-10-27 出版日期:1997-12-26 发布日期:1997-12-26

One Necessary and Sufficient Condition on Convex Sets Being Strongly Separated and its Applications

Yang Ganshang

Depertment of Mathematics. Yunnan National Institute. Kunming 650031

Received:1996-04-29 Revised:1996-10-27 Online:1997-12-26 Published:1997-12-26

摘要/Abstract

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.

关键词: 渐近面, 公共渐近面, 强分离, 边界紧集

Abstract: 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].

Key words: asymptotic plane, public asymptotic plane, strongly separated, sets with compact border

杨干山. 一个关于凸集强分离的充分必要条件及其应用[J]. 数学物理学报, 1997, 17(S1): 102-107.

Yang Ganshang. One Necessary and Sufficient Condition on Convex Sets Being Strongly Separated and its Applications[J]. Acta mathematica scientia,Series A, 1997, 17(S1): 102-107.