THE EXISTENCE AND UNIQUENESS OF COMPLETION OF COMPLEX VALUED METRIC SPACES

  • DAHLIATUL HASANAH Universitas Negeri Malang
  • IMAM SUPENO Universitas Negeri Malang

Abstract

Completion of a metric space has been investigated and proved its existence and uniqueness. While a complex valued metric space is considered as a generalization of a metric space, we study the completion properties of complex valued metric spaces. Using redefined definitions of isometry and denseness in complex valued metric spaces which correspond to the definitions in metric spaces, we prove the existence and uniqueness of completion of a complex valued metric space.

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Author Biographies

DAHLIATUL HASANAH, Universitas Negeri Malang

Jurusan Matematika, Fakultas MIPA – Universitas Negeri Malang

IMAM SUPENO, Universitas Negeri Malang

Jurusan Matematika, Fakultas MIPA – Universitas Negeri Malang

Published
2018-05-29
How to Cite
HASANAH, DAHLIATUL; SUPENO, IMAM. THE EXISTENCE AND UNIQUENESS OF COMPLETION OF COMPLEX VALUED METRIC SPACES. E-Jurnal Matematika, [S.l.], v. 7, n. 2, p. 187-193, may 2018. ISSN 2303-1751. Available at: <https://ojs.unud.ac.id/index.php/mtk/article/view/39897>. Date accessed: 30 oct. 2024. doi: https://doi.org/10.24843/MTK.2018.v07.i02.p202.
Section
Articles