Fuzzy度量空间上隐含关系自映射的公共不动点  

Common Fixed Points for Self-mappings Satisfying an Implicit Relation in Fuzzy Metric Spaces

作　　者：宋明亮[1] 

机构地区：[1]江苏教育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》2012年第6期51-59,共9页Fuzzy Systems and Mathematics

基　　金：江苏省高校自然科学基金资助项目(10KJD110006);江苏省高校"青蓝工程"项目;江苏教育学院科研项目(Jsie2100yb17)

摘　　要：利用Aφ实函数类,在Fuzzy度量空间上建立了一些隐含关系自映射的公共不动点定理。作为应用,得到度量空间上相应的公共不动点定理,从而统一并推广了Xia D-F等与Saliga的有关结论。In this paper, by using Aφ-type real functions, some common fixed point theorems for self- mappings satisfying an implicit relation in Fuzzy metric spaces are established. As their applications, we also obtain the corresponging common fixed point theorems in metric spaces. Our results unify and generalize some theorems of Xia D-F et al. （Xia D-F, Fu M-F, Jiang B. Two self-mappings common fixed points for symmetric sets and complete metric space. Advances in Mathematics, 2007,36（4）：415- 420） and Saliga （Saliga L.M. Fixed points theorems for non-selfmaps in d-complete topological spaces. Int. J. Math. Math. Sci. ,1996,19（1） ：103-110）.

关 键 词：FUZZY度量空间 Aφ实函数类 隐含关系 公共不动点 

分 类 号：O177[理学—数学] O159[理学—基础数学]