2010Unpublished venueRequires access

THE EQUIVALENCE OF CONE METRIC SPACES AND METRIC SPACES

Yuqiang Feng, Wei Mao

Open publisher page 54 citations

Abstract

In this note, we introduce a metric on the cone metric space and then prove that a complete cone metric space is always a complete metric space and verify that a contractive mapping on the cone metric space is a contractive mapping on the metric space. Hence, fixed point theorems

About this research paper

What this paper is about

In this note, we introduce a metric on the cone metric space and then prove that a complete cone metric space is always a complete metric space and verify that a contractive mapping on the cone metric space is a contractive mapping on the metric space. Hence, fixed point theorems

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OpenAlex reports 54 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this note, we introduce a metric on the cone metric space and then prove that a complete cone metric space is always a complete metric space and verify that a contractive mapping on the cone metric space is a contractive mapping on the metric space. Hence, fixed point theorems

Key concepts: Convex metric space, Metric space, Injective metric space, Mathematics, Fisher information metric, Intrinsic metric, Metric differential, Dual cone and polar cone

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