一类广义多值向量变分不等式  

A Generalized Vector Inequality for Multi-valued Mappings

作　　者：高大鹏[1] 何中全[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637002

出　　处：《内江师范学院学报》2008年第2期15-17,共3页Journal of Neijiang Normal University

摘　　要：研究了Hausdorff拓扑向量空间中一类广义多值向量变分不等式问题(GMVVIP),把定义在凸集上的GMVVIP部分地推广到了非凸集并运用KKM定理得到了这类GMVVIP解的存在性定理.A class of generalized multi-valued vector variational inequality problem （ in short GMVVIP） is studied in Hausdorff topological vector space. The GMVVIP defined on convex sets is generalized to nonconvex sets partially. Existence theorems of the GMVVIP are proved by using KKM theorem.

关 键 词：向量变分不等式 多值映象 KKM定理 

分 类 号：O177.91[理学—数学]