模糊度量空间中的循环广义(ф,ψ)-弱压缩映射

Cyclic Generalized (ф,ψ)-weakly Contractive Mappings in Fuzzy Metric Space

为优化模糊度量空间中循环弱φ-压缩映射不动点结果,提出模糊度量空间中的循环广义(ф,ψ)-弱压缩映射的概念。运用构造迭代序列方法证明了该映射在G-完备模糊度量空间中的不动点定理,并用例子说明了该结果的实用性,结果推广了Gopal等得到的模糊度量空间中循环弱φ-压缩映射的不动点定理。

In order to optimize the fixed point results of cyclicφ-weakly contractive mapping in fuzzy metric spaces,it presents the concept of cyclic generalized （ф,ψ）-weakly contractive mappings in fuzzy metric spaces.It proves the fixed point theory of the cyclic generalized （ф,ψ）-weakly contractive mappings in Gcomplete fuzzy metric spaces by using the method of constructing iterative sequence.And an example is given to illustrate the usefulness of the results.The result generalizes the fixed point theorem of cyclicφ-weakly contractive mapping in fuzzy metric spaces obtained by Gopal et al.