Open AccessSequences and its properties on type-metric space
Author(s) -
Sunarsini,
Mahmud Yunus,
A. Dimaz Wisnu,
Sadjidon
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1218/1/012033
Subject(s) - fisher information metric , metric differential , injective metric space , metric (unit) , metric space , convex metric space , intrinsic metric , mathematics , fubini–study metric , cauchy sequence , equivalence of metrics , space (punctuation) , pure mathematics , type (biology) , sequence (biology) , complete metric space , topology (electrical circuits) , mathematical analysis , combinatorics , computer science , ecology , operations management , genetics , economics , biology , operating system
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.