2019Journal of Physics Conference SeriesOpen access

Metrics on a G-metric Space

Muhammad Jakfar, Manuharawati, Dwi Nur Yunianti, Mey Dita Kumala

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Abstract

Abstract Given a G-metric space, we offer a simple way to derived metrics from G-metric and realize that any G-metric space is a metric space. We also show that, in certain cases, the metric can be derived from G-metric in such a way that the convergence and completeness in the G-metric is equivalent to those in the derived metric.

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Abstract Given a G-metric space, we offer a simple way to derived metrics from G-metric and realize that any G-metric space is a metric space. We also show that, in certain cases, the metric can be derived from G-metric in such a way that the convergence and completeness in the G-metric is equivalent to those in the derived metric.

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Available abstract

Abstract Given a G-metric space, we offer a simple way to derived metrics from G-metric and realize that any G-metric space is a metric space. We also show that, in certain cases, the metric can be derived from G-metric in such a way that the convergence and completeness in the G-metric is equivalent to those in the derived metric.

Key concepts: Fisher information metric, Metric (unit), Metric differential, Injective metric space, Metric space, Equivalence of metrics, Convex metric space, Fubini–Study metric

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