Starting with the initial paper of Huang and Zhang in 2007 [1], there have been several recent attempts to show that most of the fixed point results in cone metric spaces can be reduced to the corresponding results from ordinary metric spaces. However, none of these approaches can be applied in the cases when the cone does not have a nonempty interior. In this paper, we introduce a general result on metrizability of cone metric spaces in usual cone spaces, which show that a cone metric space is indeed metrizable for a suitable metric and most of the fixed point theorems for contraction type mappings in  cone metric spaces are merely copies of the classical results in metric spaces.

cone metric space, metrizability, fixed point theorem.