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弱FC-KKM映射与聚合不动点定理
引用本文:郑莲.弱FC-KKM映射与聚合不动点定理[J].西南师范大学学报(自然科学版),2007,32(5):10-13.
作者姓名:郑莲
作者单位:长江师范学院,数学系,重庆,涪陵,408000
摘    要:在FC-空间中引入和研究了弱FC-KKM映射和具有弱FC-KKM性质的映射类.并在非紧局部FC-空间中对具有弱FC-KKM性质的映射建立了一些新的不动点定理和聚合不动点定理.作为应用,给出了聚合不动点定理在矢量平衡问题组中的应用.

关 键 词:局部FC-空间  弱FC-KKM映射  弱FC-KKM性质  聚合不动点定理  矢量平衡问题组
文章编号:1000-5471(2007)05-0010-04
修稿时间:2006-12-14

Weakly FC-KKM Mappings and Collectively Fixed Point Theorems
ZHENG Lian.Weakly FC-KKM Mappings and Collectively Fixed Point Theorems[J].Journal of Southwest China Normal University(Natural Science),2007,32(5):10-13.
Authors:ZHENG Lian
Institution:Dept. of Mathematics, Yangtze Normal College, Fuling Chongqing 408000, China
Abstract:The weakly FC-KKM mappings and the class of mappings with the weakly FC-KKM property are introduced and studied in FC-space.Some new fixed point theorems and collectively fixed point theorems involving the mapping with the weakly FC-KKM property is established in noncompact locally FC-spaces.By using the collectively fixed point theorem,the existence theorems of some new system of vector equilibrium problems are obtained.
Keywords:locally FC-spaces  weakly FC-KKM mappings  weakly FC-KKM property  collectively fixed-point theorems  system of vector equilibrium problems
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