FC-空间内的广义向量变分型不等式  

Generalized Vector Variational-Type Inequalities in FC-Spaces

作　　者：方敏[1] 丁协平[2] 

机构地区：[1]四川大学数学学院,成都610064 [2]四川师范大学数学与软件科学学院,成都610066

出　　处：《应用数学和力学》2006年第11期1271-1279,共9页Applied Mathematics and Mechanics

基　　金：四川省教育厅重点科研基金资助项目(2003A081)

摘　　要：在FC_空间中引入和研究了一类广义向量变分型不等式(GVVTIP),包含了大多数向量平衡问题,向量变分不等式问题,广义向量平衡问题和广义向量变分不等式问题作为特殊情况.利用F_KKM定理,在非紧FC_空间中,建立了关于GVVTIP解的某些新的存在定理.这些定理统一、改进和推广了文献中的一些重要的已知结果.A class of generalized vector variational-type inequality problems （in short, GVVTIP） are studied in FC-spaces, which include most of vector equilibrium problems, vector variational inequality problems, generalized vector equilibrium problems and generalized vector variational inequality problem as special cases. By using F-KKM theorem, some new existence results for GVVTIP are established in noncompact FC-space. As consequences, some recent known results in literature are obtained under much weaker assumption.

关 键 词：广义向量变分型不等式 F-KKM映射 F-Px对角拟凸 FC空间 

分 类 号：O255[理学—数学] O177.92