Convergence of sequences in l2(P) with respect to a partial metric

Annisa Rahmita Soemarsono; Mahmud Yunus

doi:10.1088/1742-6596/974/1/012058

Convergence of sequences in l₂(P) with respect to a partial metric

Annisa Rahmita Soemarsono
, Mahmud Yunus

Laboratory of Analysis, Algebra, and Mathematics for Education

Institut Teknologi Sepuluh Nopember

Research output: Contribution to journal › Conference article › peer-review

Abstract

Partial metric spaces are generalization of metric space. The distance from a point to itself need not be zero in partial metric space. By the properties of metric and partial metric space, we have the analogue of the two spaces. Using the analogue, we construct sequences in l₂(P) with respect to a partial metric. We then investigate the convergence of sequences in l₂(P). In this work, we obtain that the convergence of sequences in l₂() can be established in l₂(P) with respect to a partial metric.

Original language	English
Article number	012058
Journal	Journal of Physics: Conference Series
Volume	974
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/974/1/012058
Publication status	Published - 22 Mar 2018
Event	3rd International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2017 - Surabaya, Indonesia Duration: 1 Nov 2017 → 1 Nov 2017

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abstract = "Partial metric spaces are generalization of metric space. The distance from a point to itself need not be zero in partial metric space. By the properties of metric and partial metric space, we have the analogue of the two spaces. Using the analogue, we construct sequences in l2(P) with respect to a partial metric. We then investigate the convergence of sequences in l2(P). In this work, we obtain that the convergence of sequences in l2() can be established in l2(P) with respect to a partial metric.",

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AU - Yunus, Mahmud

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N2 - Partial metric spaces are generalization of metric space. The distance from a point to itself need not be zero in partial metric space. By the properties of metric and partial metric space, we have the analogue of the two spaces. Using the analogue, we construct sequences in l2(P) with respect to a partial metric. We then investigate the convergence of sequences in l2(P). In this work, we obtain that the convergence of sequences in l2() can be established in l2(P) with respect to a partial metric.

AB - Partial metric spaces are generalization of metric space. The distance from a point to itself need not be zero in partial metric space. By the properties of metric and partial metric space, we have the analogue of the two spaces. Using the analogue, we construct sequences in l2(P) with respect to a partial metric. We then investigate the convergence of sequences in l2(P). In this work, we obtain that the convergence of sequences in l2() can be established in l2(P) with respect to a partial metric.

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DO - 10.1088/1742-6596/974/1/012058

M3 - Conference article

AN - SCOPUS:85045755532

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VL - 974

JO - Journal of Physics: Conference Series

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T2 - 3rd International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2017

Y2 - 1 November 2017 through 1 November 2017

ER -

Convergence of sequences in l₂(P) with respect to a partial metric

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