非紧L-凸空间中的一个新的极大元定理及其对鞍点的应用(英文)  

A New Existence Theorem for Maximal Elements in Noncompact L-Convex Spaces with Application to Saddle Points

作　　者：文开庭[1] 

机构地区：[1]毕节学院数学系,贵州毕节551700

出　　处：《大学数学》2009年第5期15-19,共5页College Mathematics

基　　金：Supported by the Natural Science Research Foundation of Science and Technology Bureau of Bijie Area(2008-06);The Natural Science Research Foudation of Guizhou Province Education Department(2008072)

摘　　要：在非紧L-凸空间中建立一个新的极大元定理.作为应用,获得了非紧L-凸空间中的极大极小不等式和鞍点定理.A new existence theorem for maximal elements is established in noncompact L-convex spaces. As application, a minimax inequality and a saddle point theorem in noncompact L-convex spaces are obtained.

关 键 词：L-凸空间 WL-映射 极大元 极大极小不等式 鞍点 

分 类 号：O177.91[理学—数学]