乘积G-凸空间内的G_B-优化映象的极大元及其应用(Ⅱ)  

Maximal Elements for G_B - Majorized Mappings in Product G -Convex Spaces and Applications(Ⅱ)

作　　者：丁协平[1] 

机构地区：[1]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》2003年第9期899-905,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19871059);四川省教育厅重点科研资助项目([2000]25)

摘　　要：　通过应用G＿凸空间的乘积空间内一族GB＿优化映象的极大元的存在定理,在G＿凸空间的非紧设置下证明了某些重合点定理。By applying existence theorems of maximal elements for a family of GB _majorized mappings in a product space of G _convex spaces,some coincidence theorem,Fan_Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G _convex spaces.These theorems improve and generalize many important known results in literature.

关 键 词：极大元 GB-优化映象族 重合定理 极小极大不等式 G-凸空间的乘积空间 

分 类 号：O177.92[理学—数学]