模糊度量空间中广义压缩映射的不动点的存在性

Existence of Fixed Point for Generalized Contraction Mappings in Fuzzy Metric Spaces

在模糊度量空间中引入了自映射的一种广义压缩条件.分别在M-完备模糊度量空间和紧模糊度量空间中证明了满足广义压缩条件的自映射的不动点的存在性,并且给出了在广义压缩条件下存在不动点的例子.

In this paper, some new generalized contractive conditions for a class of self-maps are intro duced. Under these new contractive conditions, fixed point theorems for selLmaps satisfying generalized contractive conditions in M-complete fuzzy metric spaces and compact fuzzy metric spaces are proved and examples are given to illustrate the existence of fixed points under generalized contractive conditions.