乘积局部FC-一致空间内的聚合不动点定理和应用(英文)  

Collectively Fixed Point Theorem in Product Locally FC-Uniform 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,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2008年第1期1-5,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省重点学科建设基金资助项目

摘　　要：应用在局部FC-一致空间内对紧闭集值映象得到的一个H imm elberg型不动点定理,对定义在局部FC-一致空间的乘积空间上的紧闭集值映象族建立了新的聚合不动点定理.作为应用,在局部FC-一致空间内对具有下和上界的拟平衡问题组得到了解的存在性定理和得到了新的极小极大定理.这些结果推广了文献中的某些已知结果.In this paper, by using a Himmelberg type fixed point theorem for compact and closed set-valued mappings in locally FC-uniform space due to the author, a collectively fixed point theorem for a family of compact and closed set-valued mappings defined on the product space of locally FC-uniform spaces is proved. As applications, an existence result of solutions for a system of quasi-equilibrium problems with lower and upper bounds and a minimax theorem are obtained in locally FC-uniform spaces. These results generalize some known results in literature.

关 键 词：紧闭集值映象 聚合不动点 具有下和上界的拟平衡问题组 极小极大定理 局部FC-一致空间 

分 类 号：O177.92[理学—数学]