In [5], contraction mappings in metric spaces have been covered, and some theorems about fixed points of these mappings have been proved. It is shown that the space of varieties L is a complete metric space. In this paper, it is proved that the space of all zero at infinity varieties L0 as a subspace of L is also a complete metric space. Also, some results and examples about Lipschitzian and contraction mappings in the complete metric space of zero at infinity varieties will be raised.
