广义向量F-隐拟变分不等式与相应相补问题  

Generalized Vector F-implicit Quasi Variational Inequality with Corresponding Complementarity Problems

作　　者：高继浩[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637000

出　　处：《西昌学院学报（自然科学版）》2012年第1期42-44,46,共4页Journal of Xichang University(Natural Science Edition)

基　　金：四川省教育厅项目(项目编号:08ZA159)

摘　　要：介绍了实拓扑向量空间中一类广义向量F一隐拟变分不等式问题,在适当的没有单调性和连续性的假定下,利用广义KKM定理证明了其解的存在性,并在一定条件下讨论了此类变分不等式问题与其相应的相补问题的解的等价性,推广了一些结果。A kind of generalized vector F-implicit quasi variational inequality problems is introduced in real topological vector spaces.The existence of its solution is proved under some suitable assumptions without monotonicity and continuity by using the generalized KKM theorem,the equivalence of the solution between the variational inequality problems and the corresponding complementarity problems is also discussed under certain conditions,and some results are spread.

关 键 词：拓扑向量空间 F-隐拟变分 相补问题 存在性 

分 类 号：O177.91[理学—数学]