完备的D-度量空间上具有收缩型条件映射族的唯一公共不动点

Unique common fixed points for a tamily of mappings with contractive type conditions on complete D-metric spaces

利用完备的D-度量空间上满足某种收缩条件的4个自映射S,T,I,J构造了具有唯一极限的序列,并证明了该序列的唯一极限即为S,T,I,J的唯一公共不动点,且由此得到了更为一般形式的无穷多个映射的唯一公共不动点定理,所得结果推广和改进了D-度量空间上的若干唯一公共不动点定理.

We use four self-mappings S,T,I ,J satisfying some contractive conditions on complete D-metric spaces to construct a sequence which has a unique limit,and prove that the unique limit of the sequence is the unique common fixed point of S,T,I ,J .Furthermore,we obtain a more general unique common fixed point theorem for an infinite family of self-mappings.The obtained results generalize and improve some unique com-mon fixed point theorems on D-metric spaces.