一类广义向量变分不等式与隐补问题  

A Generalized Vector Variational Inequality and Implicit Complementarity Problems

作　　者：孙丽[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：《渭南师范学院学报》2008年第2期18-20,共3页Journal of Weinan Normal University

基　　金：四川省高等教育教学改革工程人才培养质量和教学改革资助项目([2005]198)

摘　　要：在Banach空间,研究了一类广义向量变分不等式及隐补问题.在单调对和单值映射的条件下,引入一类广义向量变分不等式并运用KKM定理证明了它们的等价性及这类广义向量变分不等式解的存在性.在多值映射的条件下,证明了一类隐补问题和一类向量变分不等式的等价性.In Banach space, a new kind of generalized vector variational inequality and implicit complementarity problems are studied. In the ease of monotone pair mapping and single-mapping, a kind of generalized vector variational inequality is introduced, the equivalence of them is proved and some existence theorems of their solutions are got by using the KKM-theorem. In the case of multi-mapping, the equivalence of a generalized vector variational inequality and an implicit complementarity problem is proved.

关 键 词：广义向量变分不等式及隐补问题 单调对映射 KKM映象 KKM定理 

分 类 号：O177.92[理学—数学]