利用D-度量空间上满足某种膨胀条件的两个满自映射S和T,构造具有唯一极限的序列,证明S和T在某种附加条件下具有唯一公共不动点,得到更为一般形式的无穷多个映射的唯一公共不动点定理,推广和改进了D-度量空间上的唯一公共不动点定理。
Two surjective self-mappings S and T satisfying some expansive conditions on D-metric spaces are used to construct a sequence which has a unique limit. It is shown that S and T have a unique common fixed point under some additional conditions. Furthermore,a more general unique common fixed point theorem for a family of self-mappings is obtained. The obtained results generalize and improve some unique common fixed point theorems on D-metric spaces.