矩形b-度量空间中F压缩不动点定理

Fixed Point Theorems for F-contractions in Rectangular b-Metric Space

通过对度量空间和b-度量空间中F压缩映射进行推广,利用迭代的方法,证明了在完备矩形b-度量空间中广义F压缩映射不动点的存在性和唯一性。这一结果丰富了不同度量空间中F压缩不动点定理,说明了F压缩映射在不同度量空间中适用性的问题。

Using the iterative method,the existence and uniqueness of fixed points for F-contractions are proved,which generalizes the F-contractive mappings in metric space and b-metric space.This result enriches the fixed point theorems for F-contractions in the different metric spaces,and illustrates the applicability of F-contractive mappings in different metric spaces.