Gp-度量空间中F-压缩型映射的不动点

Common Fixed Points for F-Contractive Type Mappings in Gp-Metric Spaces

应用序列逼近的方法,文章证明了在一定条件下,Gp-度量空间中两个满足某种F-拟压缩条件的映射必有公共不动点。作为一个推论,得到了Gp-度量空间中一个满足某种F-拟压缩条件的映射必有不动点。

By using the method of sequence approximation,a common fixed result for two mappings satisfying an F-quasi-contractive condition is obtained in partially ordered Gp-metric spaces. Accordingly,a mapping that satisfies an F-quasi-contractive condition has a fixed point in partially ordered Gp-metric spaces.