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All Journal Limits: Journal of Mathematics and Its Applications
Mohamad Ilham Dwi Firmansyah
Departemen Matematika, Institut Teknologi Sepuluh Nopember
Mathematics

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Konvergensi Barisan dan Kelengkapan pada Ruang Metrik Parsial Rectangular Mohamad Ilham Dwi Firmansyah; Erna Apriliani; Mahmud Yunus
Limits: Journal of Mathematics and Its Applications Vol 20, No 1 (2023)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v20i1.6376

Abstract

The metric space is one of the objects studied in functional analysis. The metric space has undergone many developments, some eHamples of which are partial metric spaces and rectangular metric spaces. The difference between the metric space and the partial metric space can be seen in the distance of a point from itself. In the metric space, it is always equal to zero, while in the partial metric space it is not equal to zero. On the other hand, the difference between a metric space and a metric rectangular space can be seen in the inequalities used. In the metric space we use triangular inequalities, while in the metric rectangular space we use rectangular inequalities.  Shukla in 2014 presents the development of another metric space called  rectangular partial metric space, which combines the concept of  partial metric space with  rectangular metric space. This research we discusses the problem of the properties of the rectangular partial metric space, including convergence sequences, Cauchy sequences, and completeness of space in the rectangular partial metric space.
Co-Authors Erna Apriliani Yunus, Mahmud