广义向量F-互补问题  

Generalized Vector F-Complementary Problem

作　　者：李克勤[1] 何中全[1] 何童丽[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：《宜宾学院学报》2007年第6期10-11,共2页Journal of Yibin University

摘　　要：本文研究了一类广义向量F-互补问题(GVF-CP),并给出了它与F-广义似向量变分不等式(GVF-VLIP)之间的关系.且在不具有伪单调的情况下证明了(GVF-CP)解的存在性,推广了已有的一些结果.In this article, a new kind of generalized vector F - complementary problem and vector F - generalized variation -like inequality problem are introduced and studied, and the relation between them is also studied. We also derive some new existence theorems of solutions to vector F - complementary problems by using F - mapping theorem under some suitable assumptions without monotonicity .

关 键 词：广义向量F-互补问题 KKM映射 F-广义似向量变分不等式 等价性 

分 类 号：O177.2[理学—数学]