On the end of the cone metric spaces

Starting with the initial paper of Huang and Zhang [2] in 2007, more than six hundred papers dealing with cone metric spaces have been published so far. In this short note we present a different proof of the known fact that the notion of a cone metric space is not more general than that of a metric...

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Bibliographic Details
Published in:Topology and its applications 2014-04, Vol.166, p.10-14
Main Author: Ercan, Z.
Format: Article
Language:English
Subjects:
Cone metric space
Interior of cone
Metrizability
Order unit
Ordered vector spaces
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Summary:Starting with the initial paper of Huang and Zhang [2] in 2007, more than six hundred papers dealing with cone metric spaces have been published so far. In this short note we present a different proof of the known fact that the notion of a cone metric space is not more general than that of a metric space.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2014.02.004