摘要
引入了正规分离并证明了它的存在性 ,从而摆脱了原先分离存在性定理须预先假设存在近渡点的限制 ,得到了完善化 ,与此同时又建立了正规分离的一系列性质 .比如联系近渡点及最近点对的关系 ,正规分离的唯一性等 ,改进了著名的Mazur定理和Eidelheit分离定理 .
The concept of normal separation (NS) of two convex sets is introduced.Its existence is proved.Then the restricting condition,existence of nearest cross point,is relaxed.And then some properties of NS are established,e\^g. uniqueness of NS;the relations between NS and nearest cross pionts,etc.These generalize the well known Eidelheit separation theorem and Mazur theorem extensively.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2000年第6期20-25,共6页
Acta Scientiarum Naturalium Universitatis Sunyatseni
关键词
正规分离
近渡点
最近点对
贴支承
存在性
凸集
normal separation
nearest cross point
proximity pair
supporting hyperplane
adherent supporting
