FC-空间上Ψ-凝聚映射的不动点定理  

Fixed Point Theorems forΨ-condensing Mappings in FC-spaces

作　　者：王彬[1] 刘恒 

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641199 [2]内江白马第二职业中学,四川内江641000

出　　处：《内江师范学院学报》2014年第10期13-15,共3页Journal of Neijiang Normal University

基　　金：四川省教育厅科研基金项目(11ZB023);内江师范学院基金项目(14ZB07)

摘　　要：首先给出了FC-空间上的非紧测度和ψ-凝聚映射的定义,并讨论了该映射的一些性质,引进了FC-空间上的连续选择定理,并给出了ψ-凝聚映射的几个不动点定理.First,the definitions of non-compact measure and Ψ-condensing mapping in FC-spaces are put forth,and then some properties of Ψ-condensing mapping are discussed.Finally the continuous selection theorem is introduced,from which several fixed point theorems for Ψ-condensing mapping are thus obtained.The results are applied to generalize the corresponding results in recent literature.

关 键 词：FC-空间 ψ-凝聚映射 不动点 FC-子空间 

分 类 号：O117.91[理学—数学]