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Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

DOI: 10.5899/2012/jnaa-00160

Keywords: Cone metric space , Fixed point

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Abstract:

In this paper we show that by renorming an ordered Banach space, every cone $P$ can be converted to a normal cone with constant $K=1$ and consequently due to this approach every cone metric space is really a metric one and every theorem in metric space is valid for cone metric space automatically.

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