具控制结构的向量拟均衡系统  

Systems of vector quasi-equilibrium problems with domination structure

作　　者：蔡国华[1] 傅俊义[2] 

机构地区：[1]东华理工大学理学院,江西南昌330013 [2]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2013年第4期320-324,共5页Journal of Nanchang University(Natural Science)

基　　金：江西省教育厅科技项目(GJJ12383)

摘　　要：引入一类向量伪单调映射,在Hausdorff拓扑线性空间中,利用向量映射的锥连续条件与极大元定理,讨论具控制结构的向量拟均衡问题系统,研究该问题的有效解及强解,得到这两类解的存在性与解集的紧性,并建立这两类解之间的联系。The concept of vector pseudo-monotone mapping was introduced. We investigated the existence of strong solution and efficient solution in Hausdorff topological linear spaces by using the cone-continuity of vector mappings and the maximal element theorem. The compactness of their solution sets for systems of vector quasi-equilibrium problems with domination structure and pseudo-monotone mappings was obtained. We also discussed the relationship between strong solution and efficient solution.

关 键 词：向量拟均衡问题系统 伪单调映射 控制结构 极大元定理 

分 类 号：O317[理学—一般力学与力学基础]