THE EQUIVALENCE OF CONE METRIC SPACES AND METRIC SPACES
Yuqiang Feng, Wei Mao
Abstract
Yuqiang Feng, Wei Mao
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
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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