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.
出处
《三峡大学学报(自然科学版)》
CAS
2008年第3期94-96,共3页
Journal of China Three Gorges University:Natural Sciences
关键词
模糊映象
压缩映象
公共不动点
完备度量空间
fuzzy mapping
contractive mapping
common fixed point
complete metric space