广义拟凹映射和向量极小极大不等式  

Generalized Quasiconcave Mapping and Vector-Valued Minimax Inequalities

作　　者：罗贤强[1,2] 

机构地区：[1]上海大学数学系,上海200444 [2]五邑大学数学系,广东江门529020

出　　处：《大学数学》2011年第6期47-51,共5页College Mathematics

基　　金：广东省自然科学基金(9452902001003278;10452902001005845)

摘　　要：引入z-广义C-拟凹向量映射,研究它和广义KKM映射的等价性,应用这些结果改进了一Ky Fan向量极小极大不等式,并且获得了一强向量极小极大不等式.A generalized vector-valued quasiconvcave mapping is introduced, and it is studied that the equivalent quality between it and the generalized KKM mapping, which are all applied to improve a Ky Fan minimax inequality and obtain a strong minimax inequality for vector-valued mapping by the KKM methods.

关 键 词：广义拟凹映射 KKM映射 广义KKM映射 向量极小极大不等式 

分 类 号：O177.91[理学—数学]