Volume 10 , Issue 2 , PP: 08-18, 2024 | Cite this article as | XML | Html | PDF | Full Length Article
Pshtiwan Sabir Noori 1 *
Doi: https://doi.org/10.54216/GJMSA.0100201
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, soft2 closed ball, soft2- open sets, soft2 closed 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.
soft2-elements , soft2-metric spaces , soft2- open sets , soft2-closed sets.
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