Open access Jurnal SINTA 3
A COMPLETION THEOREM FOR COMPLEX VALUED S-METRIC SPACE
BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 18 No. 4 (2024) · pp. 2747–2756
- ISSN
- 2615-3017, 1978-7227
- Published
- 2024-10-14
- Publisher
- PATTIMURA UNIVERSITY
- Language
- eng
Abstract
Any complex valued S-metric space where each Cauchy sequence converges to a point in this space is said to be complete. However, there are complex valued S-metric spaces that are incomplete but can be completed. A completion of a complex valued S-metric space ( is defined as a complete complex valued S-metric space with an isometry such that is dense in In this paper, we prove the existence of a completion for a complex valued S-metric space. The completion is constructed using the quotient space of Cauchy sequence equivalence classes within a complex valued S-metric space. This construction ensures that the new space preserves the essential properties of the original S-metric space while being completeness. Furthermore, isometry and denseness are redefined regarding a complex valued S-metric space, generalizing those established in a complex valued metric space. In addition, an example is also presented to illustrate the concept, demonstrating how to find a unique completion of a complex valued S-metric space.
Collaboration network of the authors
40 authors · 112 co-authorship links · showing the 40 most connected
Hover or tap a name to highlight its co-authors. Double-click to open the author's page.
- Universitas Halu Oleo
- Affiliation unknown
- Different organisations
- Same organisation
- Affiliation unknown
- Thicker line = more joint articles · bigger circle = more articles
Show as table
| Co-author | Organisation | Joint articles |
|---|---|---|
| Henny Kasmawati | Universitas Halu Oleo | 5 |
| Ruslin Ruslin | Universitas Halu Oleo | 4 |
| Nur Illiyyin Akib | Affiliation unknown | 3 |
| Nurull Hikmah | Universitas Halu Oleo | 2 |
| La Ode Muhammad Fitrawan | Universitas Halu Oleo | 2 |
| Sandra Aulia Mardikasari | Affiliation unknown | 2 |
| Shantika Martha | Affiliation unknown | 2 |
| Nur'ainul Miftahul Huda | Affiliation unknown | 2 |
| Nurramadhani Armada Sida | Universitas Halu Oleo | 1 |
| Aswani Aswani | Universitas Halu Oleo | 1 |
| Rini Hamsidi | Affiliation unknown | 1 |
| Nurlena Ikawati | Affiliation unknown | 1 |
| Muhammad Kamal | Affiliation unknown | 1 |
| Akhir Purwati | Affiliation unknown | 1 |
| Wa Ode Sitti Musnina | Affiliation unknown | 1 |
| Aisyah Shaliha Anto | Affiliation unknown | 1 |
| Irnawati Irnawati | Affiliation unknown | 1 |
| Irmanaya Sari | Affiliation unknown | 1 |
| Andi Eka Purnama Putri | Affiliation unknown | 1 |
| Wa Ode Hastriani Fitrih | Affiliation unknown | 1 |
| Mutmainna Mutmainna | Affiliation unknown | 1 |
| RAHMANPIU RAHMANPIU | Affiliation unknown | 1 |
| Wahyuni Wahyuni | Affiliation unknown | 1 |
| Dian Ariastika | Affiliation unknown | 1 |
| Ari Sartinah | Universitas Halu Oleo | 1 |
| Fery Indradewi Armadany | Affiliation unknown | 1 |
| Halimahtussaddiyah Ritonga | Affiliation unknown | 1 |
| Andi Nafisah Tendri Adjeng | Affiliation unknown | 1 |
| Nur illiyin Akib | Affiliation unknown | 1 |
| Rahiswari Pramudita Lakasa | Affiliation unknown | 1 |
| Halimahtussaddiyah R Halimahtussaddiyah R | Affiliation unknown | 1 |
| Niken Prawesti | Affiliation unknown | 1 |
| Aswani Aswani | Affiliation unknown | 1 |
| Nurramadhani A Sida | Affiliation unknown | 1 |
| Inten Widuri Wulandari | Affiliation unknown | 1 |
| Hanari Hanari | Affiliation unknown | 1 |
Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.