Some Properties of Generalized Ultrametric Spaces

摘要

In this paper, we generalize the concept of ultrametric spaces, which is called T - metric space and give some properties of it. Also, we prove a common fixed point theorem for two mappings under the condition of R -weakly commuting in complete T - metric spaces. A lot of fixed point theorem on ordinary metric and ultrametric space are special case of our main result, since every ordinary metric and ultrametric space is also T -metric space.