FC-空间中的参数型KKM定理及其应用  

Parametric Type of KKM Theorem in FC-Spaces With Applications

作　　者：邓磊[1] 臧小燕[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《应用数学和力学》2009年第1期75-82,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10771173);重庆市科委自然科学基金资助项目(CSTC;2005BB2097)

摘　　要：首先在FC-空间中证明了一个特征性质,然后通过引进线性序空间,利用集合的连通性,在非紧的FC-空间中证明了一个参数型KKM定理.应用参数型KKM定理得到非紧的极大极小不等式、鞍点定理和截口定理.这些结果改进和推广了这个领域中的一些相关结果.First,the authors proved a characteristic property in FC-spaces,then using the connectedness of set, a parametric type of KKM theorem was established in noncompact FC-spaces by introduc- ing a linear ordered space. As consequences, some recent known results such as the noncompact minimax inequalities,saddle point theorem and section theorem were improved. The results improve and generalize the corresponding results in the literature.

关 键 词：FC-子空间 FC-参数-拟凸映射 极大极小不等式 

分 类 号：O177.92[理学—数学]