具有集值H-半-伪单调映射的广义向量变分不等式解的存在性  

Existence of Solution for Generalized Vector Variational Inequalities with a Set-valued H-semi-pseudomonotone Mapping

作　　者：肖光强[1,2] 余显志[2] 

机构地区：[1]重庆大学数学与统计学院,重庆400030 [2]后勤工程学院基础部,重庆401311

出　　处：《后勤工程学院学报》2011年第1期86-91,共6页Journal of Logistical Engineering University

摘　　要：首先推广向量集值半一单调映射到向量集值H-半-伪单调映射，然后利用Kakutani—Fan—Glicksberg不动点定理，研究了具有集值H-半-伪单调映射的广义向量t变分不等式问题，在自反Banach空间中得到了两个存在性结果。The concept of set-valued semi-monotonicity to that of set-valued H-semi-pseudomonotone mapping is generalized firsdy,then a generalized vector variational inequality problem concerning the vector set-valued H-semi-pseudomonotoue mapping is studied by using the Kakutani-Fan-Glicksberg fixed point theorem, and two results of existence are obtained finally in reflexive Banach.

关 键 词：广义向量变分不等式 集值H-半-伪单调映射 Kakutani—Fan—Glicksberg不动点定理 

分 类 号：O224[理学—运筹学与控制论]