随机向量F隐相补问题和相应的变分不等式问题  

Random Vector F-Implicit Complementarity Problems and Corresponding Variational Inequality Problems

作　　者：魏辉[1] 邓磊[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2008年第10期7-10,共4页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771173)

摘　　要：介绍和研究了一类新的随机向量F-隐相补问题和随机向量F-隐变分不等式问题,并且在Banach空间中的一定条件下证明了它们的等价性.在适当的条件下给出了随机向量F-隐相补问题和随机向量F-隐变分不等式问题解的存在性定理.A new class of random vector F-implicit complementary problems and random vector F-implicit variational inequality problems are introduced and studied, and their equivalence is presented under certain assumption in Banach space. Some new existence theorems of solutions for the random vector F-implicit complementary problems and random vector F-implicit variational inequality problems are derived under some suitable conditions.

关 键 词：随机向量F-隐相补问题 随机向量F-隐变分不等式问题 KKM定理 

分 类 号：O177.91[理学—数学]