乘积FC-空间内涉及一较好容许集值映象的优化映象族的极大元及其应用  

Maximal Elements of a Family of Majorized MappingsInvolving a Better Admissible Mapping in Product FC-Spaces and Applications

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》2006年第12期1405-1416,共12页Applied Mathematics and Mechanics

基　　金：四川省教育厅重点科研基金资助项目(2003A081;SZD0406)

摘　　要：引入了涉及一较好容许集值映象的映一拓扑空间到一有限连续拓扑空间(简称,FC-空间)的优化映象族·在乘积FC-空间的非紧设置下对这类优化映象族证明了某些极大元存在性定理·在乘积FC-空间内给出了对不动点和极小极大不等式组的应用·这些定理改进、统一和推广了最近文献中的很多重要结果·A new family of majorized mappings from a topological space into a finite continuous topological space （in short, FC-space） involving a better admissible set-valued mapping was introduced. Some existence theorems of maximal elements for the family of majorized mappings were proved under noncompact setting of product FC-spaces. Some applications to fixed point and system of minimax inequalities were given in product FC-spaces. These theorems improve, unify and generalize many important results in recent literature.

关 键 词：极大元 G-优化映象族 不动点 极小极大不等式组 乘积FC-空间 

分 类 号：O177.91[理学—数学]