Fuzzy度量空间上Lipschitz型自映射的公共不动点  

Common Fixed Points of Lipschitz-Type Self-Mappings in Fuzzy Metric Spaces

作　　者：朱秀娟[1] 宋明亮[1] 

机构地区：[1]江苏第二师范学院数学与信息技术学院,江苏南京210013

出　　处：《模糊系统与数学》2014年第5期103-110,共8页Fuzzy Systems and Mathematics

基　　金：江苏省高校自然科学基金资助项目(13KJB110004;14KJB110005);江苏第二师范学院重点科研项目(JSNU-Z-4469)

摘　　要：在Fuzzy度量空间上建立了一个Lipschitz型自映射的公共不动点定理。作为应用,得到Fuzzy度量空间上Bose型和Kannan-Reich型自映射的公共不动点定理,从而统一并推广了Bose与KannanReich在度量空间上的有关结论。In this paper, acommon fixed point theorem of Lipschitz-type self-mappings in Fuzzy metric spaces is established. As their applications, we also obtain the common fixed point theorems of Bose-type and Kannan-Reich-type self-mappings in Fuzzy metric spaces. Our results unify and generalize the corresponding common fixed point theorems of Bose and Kannan-Reich in metric spaces.

关 键 词：FUZZY度量空间 Lipschitz型自映射 公共不动点 

分 类 号：O177[理学—数学] O159[理学—基础数学]