2-度量空间上具有唯一公共不动点的拟收缩型非交换自映射族

A family of quasi-contractive type non-commutative self-maps having an unique common fixed point in 2-metric spaces

在2-度量空间(X,d)上引进逆收缩型自映射族,并证明当X是完备时该映射族具有唯一的公共不动点.主要定理改进了文[1]中的相应结果.

The definition of quasi- contractive type self- maps in 2- metric spaces （X,d） is introduced. It is shown that the above self- maps have an unique common fixed point in X if X is complete. The main theorem improves and generalizes the corresponding result in paper [ 1 ].