CMTS上第Ⅲ,s-Ⅲ型膨胀映射的不动点定理  

FIXED POINT THEOREMS FOR Ⅲ,s-Ⅲ TYPE EXPANSION MAPPINGS ON CMTS

作　　者：朴勇杰[1] 

机构地区：[1]延边大学理学院数学系,延吉133002

出　　处：《系统科学与数学》2013年第8期976-984,共9页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(11261062;11361064);吉林省教育厅"十二五"科学计划项目(吉教科合字[2011]第434号)资助课题

摘　　要：首先在CMTS上建立第Ⅲ膨胀映射不动点存在定理,然后建立第s-Ⅲ膨胀映射的概念并给出第s-Ⅲ膨胀映射与其相关联的映射的唯一公共不动点存在定理,同时给出第s-Ⅲ膨胀映射具有唯一不动点的结论.结论推广和改进了文献中所得到的结论.The purpose of this paper is to establish fixed point theorem for a III type expansion mapping on CMTS, then to introduce the concept of s-Ⅲ type expansion mappings and to obtain the unique common fixed point theorem for an s-Ⅲ type expansion mapping and a corresponding mapping, and to give a unique fixed point result for an s-Ⅲ type expansion mapping. The results generalize and improve some corresponding conclusions in references.

关 键 词：第Ⅲ膨胀映射 第s—Ⅲ膨胀映射 CMTS 重合点 公共不动点 不动点 

分 类 号：O177.91[理学—数学]