On Soft 2-metric spaces

Pshtiwan Sabir

doi:https://doi.org/10.54216/GJMSA.0100201

Full Length Article

Volume 10 • Issue 2 • PP: 08-18 • 2024

On Soft 2-metric spaces

Pshtiwan Sabir Noori ^1*

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¹Sherko Bekas High School, Kirkuk General Education Directorate, Kirkuk, Iraq

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.0100201

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Received: October 10, 2023 Revised: January 11, 2024 Accepted: March 10, 2024

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Abstract

The main purpose of this article is to introduce the concept of soft₂-metric spaces that are new metric spaces based on the soft-elements and to study their properties, also to introduce some related concepts such as soft₂- open ball, soft₂closed ball, soft₂- open sets, soft₂closed sets, soft₂-interior elements, soft₂-limit elements, soft₂-closure of sets, and study some of their properties. And that is proved that every soft₂- open ball is a soft₂- open set, every soft₂- closed ball is a soft₂- closed set. And reformulated and proved some theorems in soft₂-metric space, such as Cantor's theorem and other theorems.

Keywords

soft2-elements soft2-metric spaces soft2- open sets soft2-closed sets.

References

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Noori, Pshtiwan Sabir. "On Soft 2-metric spaces." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 10, no. Issue 2, 2024, pp. 08-18. DOI: https://doi.org/10.54216/GJMSA.0100201

Noori, P. (2024). On Soft 2-metric spaces. Galoitica: Journal of Mathematical Structures and Applications, Volume 10(Issue 2), 08-18. DOI: https://doi.org/10.54216/GJMSA.0100201

Noori, Pshtiwan Sabir. "On Soft 2-metric spaces." Galoitica: Journal of Mathematical Structures and Applications Volume 10, no. Issue 2 (2024): 08-18. DOI: https://doi.org/10.54216/GJMSA.0100201

Noori, P. (2024) 'On Soft 2-metric spaces', Galoitica: Journal of Mathematical Structures and Applications, Volume 10(Issue 2), pp. 08-18. DOI: https://doi.org/10.54216/GJMSA.0100201

Noori P. On Soft 2-metric spaces. Galoitica: Journal of Mathematical Structures and Applications. 2024;Volume 10(Issue 2):08-18. DOI: https://doi.org/10.54216/GJMSA.0100201

P. Noori, "On Soft 2-metric spaces," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 10, no. Issue 2, pp. 08-18, 2024. DOI: https://doi.org/10.54216/GJMSA.0100201

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