FC-空间中的极大极小不等式及其等价形式(英文)  

Minimax Inequalities and Its Equivalent Formulations in FC-spaces

作　　者：杨明歌[1] 邓磊[2] 

机构地区：[1]洛阳师范学院数学科学学院,河南洛阳471022 [2]西南大学数学与统计学院,四川重庆400715

出　　处：《应用泛函分析学报》2009年第2期106-111,共6页Acta Analysis Functionalis Applicata

基　　金：Supported by the National Natural Science Foundation of China(10771173);Natural Science Foundation of Henan Education Department of China(2008B110012)

摘　　要：应用非空交定理,在FC-空间中证明了几个极大极小不等式,推广了有关文献中的相应结果.同时给出了与极大极小不等式等价的形式,如截口定理、不动点定理和极小元定理等.By using a nonempty intersection theorem, we prove some minimax inequatities in FC-space, which generalize the corresponding result in the literature. Also, some equivalent formulations of minimax inequalities are given in FC-space, such as section theorem, fixed point theorem and maximal element theorem elc.

关 键 词：极大极小不等式 FC-空间 极大元 

分 类 号：O177.91[理学—数学]