D-度量空间上一族拟收缩自映射的唯一公共不动点

Unique common fixed points for a family of quasi-contractive self-mappings on D-metric spaces

利用D-度量空间上满足某种拟收缩条件的满自映射族{fn}n∈N,构造了具有唯一极限的序列,证明了如果{fn}n∈N满足其他一些条件,则上述唯一极限为{fn}n∈N的唯一公共不动点,并且在D-度量空间上给出了更为一般的一族拟收缩自映射的唯一公共不动点定理.

We use a family of surjective self-maps{f n}n∈N satisfying some quasi-contractive condition on D-metric space to construct a sequence which has an unique limit ,and prove that the limit is the unique common fixed point of{fn}n∈N if{fn}n∈N satisfies other some conditions .Furthermore ,we give a more general unique common fixed point theorem for a family of quasi-contractive self-maps on D-metric spaces .