一对压缩型模糊映象的公共不动点定理  

Common Fixed Point Theorems of Fuzzy Contractive Mappings

作　　者：肖仁桥[1] 钱丽[2] 

机构地区：[1]安徽财经大学统计与应用数学学院,安徽蚌埠233030 [2]安徽财经大学管理学院,安徽蚌埠233030

出　　处：《三峡大学学报（自然科学版）》2008年第3期94-96,共3页Journal of China Three Gorges University：Natural Sciences

摘　　要：利用完备度量空间的性质和引理1、2,研究了在完备度量空间X中一对压缩型模糊映象当其截集是X中非空有界闭集时,该对压缩型模糊映象的公共不动点的存在性问题,推广了Vija-yaraju P和Marudai M论文的结论.Using the property of complete metric space and related lemmas 1 and 2, the existence of common fixed point of a couple of fuzzy contractive mappings with inequality conditions and the cut set being nonempty closed bounded subsets of comp!ete metric space X, is studied; and several theorems on the existence of common fixed point are given. The results generalize the corresponding results in the related references of Vijayaraju P and Marudai M.

关 键 词：模糊映象 压缩映象 公共不动点 完备度量空间 

分 类 号：O177.91[理学—数学]