Quasimöbius maps, weakly quasimöbius maps and uniform perfectness in quasi-metric spaces

摘要

In this paper, first, we define the weakly quasimöbius maps in quasi-metric spaces and obtain a series of elementary properties of these maps. Then we find conditions under which a weakly quasimöbius map is quasimöbius in quasi-metric spaces. With the aid of uniform perfectness, three related results are proved, and some applications are also given.