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2019•Journal of Physics Conference SeriesOpen access

Sequences and its properties on type-metric space

Sunarsini, Mahmud Yunus, A Dimaz Wisnu, Sadjidon

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Abstract

Abstract In this paper, we generalized concept of metric space, namely the type-metric space. The difference between type-metric with metric is triangular inequalities. We will investigate some properties of the convergent sequence, the Cauchy sequence, the contractive sequence on the type-metric space. Then, we investigate the relationship between the metric space and the type-metric space with an the example. At the end of this paper, we construct a type-metric function on the cone metric space.

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Abstract In this paper, we generalized concept of metric space, namely the type-metric space. The difference between type-metric with metric is triangular inequalities. We will investigate some properties of the convergent sequence, the Cauchy sequence, the contractive sequence on the type-metric space. Then, we investigate the relationship between the metric space and the type-metric space with an the example. At the end of this paper, we construct a type-metric function on the cone metric space.

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Available abstract

Abstract In this paper, we generalized concept of metric space, namely the type-metric space. The difference between type-metric with metric is triangular inequalities. We will investigate some properties of the convergent sequence, the Cauchy sequence, the contractive sequence on the type-metric space. Then, we investigate the relationship between the metric space and the type-metric space with an the example. At the end of this paper, we construct a type-metric function on the cone metric space.

Key concepts: Fisher information metric, Metric differential, Injective metric space, Metric (unit), Metric space, Convex metric space, Intrinsic metric, Mathematics

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