度量空间上具有半隐式拟收缩型条件的可数个映射的唯一公共不动点

Unique common fixed point for a family of countable mappings with a semi-implicit-quasi-contraction condition on metric spaces

引进五元连续的实函数类Φ,并考虑具有一种半隐式拟收缩条件的可数个映射,构造了一个收敛序列并证明了其唯一极限是给定映射族的唯一公共不动点.最后,给出了2个更一般形式的公共不动点定理.

A class φ of 5-dimensional continuous real functions was introduced, a family of countable mappings with a semi-implicit-quasi-contraction condition was considered, a convergent sequence was constructed and that the unique limit of the sequence is the unique common fixed point of the given mappings was proved. Finally, the more general common fixed point theorems were given.