Journal of Science and Technology
Vol 4, No 1: Maret 2024

Barisan Cauchy pada Ruang Semimetrik Terbatas

Rianjaya, Ilham Dangu (Unknown)
Putri, Amelia (Unknown)
Musthofa, Syarto (Unknown)

Article Info

Publish Date
31 Mar 2024

Abstract

Semimetric spaces with bounded property means that it is bounded below and bounded above by constant multiples of a metric space. Moreover, in semimetric spaces, every convergent sequence is not necessarily to be a Cauchy sequence. This study aims to examine the property of sequences of semimetric spaces with boundary property. In this work, analytical method of proof is used. The results obtained are the equivalence of the convergence of the sequence, and the fulfillment of the Cauchy criterion in the finite semimetric space and the metric space that bounds it. In addition, the completeness property in one space also causes the other space to fulfill the completeness property.

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Journal Info
Journal of Science and Technology
Website

Abbrev

jostech

Publisher

Universitas Islam Negeri Imam Bonjol Padang

Subject

Computer Science & IT Mathematics

Description

JOSTECH focuses on the dissemination of scientific research in the field of Sains and Technology. We invite researchers, academics, practitioners to join us, submitting your original manuscripts. The JOSTECH encourages submission of the manuscript dealing with all sciences and technology aspects, ...