Banach空间中一类广义向量变分不等式解的存在性  

Existence of solutions for a generalized vector variational ineqaulities in Banach spaces

作　　者：张艳[1] 何中全[1] 阿力非日[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《周口师范学院学报》2012年第2期26-29,共4页Journal of Zhoukou Normal University

基　　金：四川省教育厅重点课题基金资助项目(No.ZA159)

摘　　要：在Banach空间中引入和研究了一类具有更一般形式的广义集值向量变分不等式问题,证明了此类变分不等式解的存在性,并得到了一些解的性质.In this paper, a generalized form of vector variational ineqaulities for set-valued mappings was proposed,some results on the existence of solutions of our new class of vector variational ineqaulities in the real Banach space were proved, and some properties of the solutions were obtained.

关 键 词：广义向量变分不等式 KKM定理 集值映射 解的存在性 

分 类 号：O177.91[理学—数学]