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.
出处
《模糊系统与数学》
CSCD
北大核心
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)