乘积G-凸空间内的G_B-优化映象的极大元及其应用(Ⅰ)  

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

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6期583-594,共12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：　引入和研究了一类新的映拓扑空间到不同广义凸空间的集值映象簇·　利用连续单位分解定理和Brouwer不动点定理,在乘积广义凸空间的非紧设置下,对这类集值映象簇证明了极大元存在定理·　这些定理改进。A new family of set_valued mappings from a topological space into generalized convex spaces was introduced and studied.By using the continuous partition of unity theorem and Brouwer fixed point theorem,several existence theorems of maximal elements for the family of set_valued mappings were proved under noncompact setting of product generalized convex spaces.These theorems improve,unify and generalize many important results in recent literature.

关 键 词：极大元 CB·优化映象族 乘积G-凸空间 

分 类 号：O177.92[理学—数学]