POSSIBILITY OR IMPOSSIBILITY OF THE METRIZABILITY OF CONE METRIC SPACES VIA RENORMING THE BANACH SPACES

Abstract

In this paper we modify the proof of main theorem on the paper `Metrizabilityof Cone Metric Spaces Via Renorming the Banach Spaces' ([3]), and also we state and confirm that we can convert non-normal cone to normal with constant one. Therefore the metrizability of cone metric spaces via renorming the Banach spaces is possible. We also present an famous example herein.