Topology and Metrizability of Cone Metric Spaces
نویسنده
چکیده
Abstract: Replacing the set of real numbers by an ordered Banach space in the definition of a metric, Guang and Xian [5] introduced the concept of a cone metric and obtained some fixed point Theorems for contractive mappings on cone metric spaces. It has been shown that every cone metric space is metrizable [2-4]. In this paper we review and simplify some results of [6] and as a consequence of our earlier results and in a totally different way will show again that every cone metric space is metrizable and finally prove some fixed point theorems.
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