拓扑有界集的Pareto-Optimal点的存在结论  

Existence Results of the Pareto Optimal Point on Topological Bounded Sets

作　　者：林金桢[1] 

机构地区：[1]中山大学数学系

出　　处：《中山大学学报（自然科学版）》1997年第1期16-19,共4页Acta Scientiarum Naturalium Universitatis Sunyatseni

摘　　要：证明了带有π性质锥的序局部凸线性拓扑空间中的每一个有界弱闭集和带有π性质锥或角性质锥的序局部凸完备拓扑线性空间中的每一有界闭集存在Ｐａｒｅｔｏ－ｏｐｔｉｍａｌ点．It is proved that the Pareto optimal point exists on any weak bounded closed set in an ordered locally convex space with the closed cone with π property and on any bounded closed set in an ordered complete locally convex space with the closed angle cone or closed cone with π property. Meanwhile, a satisfying result uncovering the dual property of the angle cone and the cone with π property is given.

关 键 词：角锥 P-O点 线性拓扑空间 拓扑有界集 

分 类 号：O177.3[理学—数学]