Soft almost weakly continuous functions and soft Hausdorff spaces
Beyond the realm of soft topology, soft continuity can aid in the creation of digital images and computational topological applications. This paper investigates soft almost weakly continuous, a novel family of generalized soft continuous functions. The soft pre-continuous and soft weakly continuous...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241673 |
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| _version_ | 1832590738011979776 |
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| author | Samer Al-Ghour Jawaher Al-Mufarrij |
| author_facet | Samer Al-Ghour Jawaher Al-Mufarrij |
| author_sort | Samer Al-Ghour |
| collection | DOAJ |
| description | Beyond the realm of soft topology, soft continuity can aid in the creation of digital images and computational topological applications. This paper investigates soft almost weakly continuous, a novel family of generalized soft continuous functions. The soft pre-continuous and soft weakly continuous function classes are included in this class. We obtain many characterizations of soft almost weakly continuous functions. Furthermore, we investigate the link between soft almost weakly continuous functions and their general topology counterparts. We present adequate conditions for a soft almost weakly continuous function to become soft weakly continuous (soft pre-continuous). We also present various results of soft composition, restriction, preservation, product, and soft graph theorems in terms of soft almost weakly continuous functions. |
| format | Article |
| id | doaj-art-3e891227dbab415d9f12cfb9a2cfd6ec |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-3e891227dbab415d9f12cfb9a2cfd6ec2025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912352183523710.3934/math.20241673Soft almost weakly continuous functions and soft Hausdorff spacesSamer Al-Ghour0Jawaher Al-Mufarrij1Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanDepartment of Mathematics, Women Section, King Saud University, Riyadh 12372, Saudi ArabiaBeyond the realm of soft topology, soft continuity can aid in the creation of digital images and computational topological applications. This paper investigates soft almost weakly continuous, a novel family of generalized soft continuous functions. The soft pre-continuous and soft weakly continuous function classes are included in this class. We obtain many characterizations of soft almost weakly continuous functions. Furthermore, we investigate the link between soft almost weakly continuous functions and their general topology counterparts. We present adequate conditions for a soft almost weakly continuous function to become soft weakly continuous (soft pre-continuous). We also present various results of soft composition, restriction, preservation, product, and soft graph theorems in terms of soft almost weakly continuous functions.https://www.aimspress.com/article/doi/10.3934/math.20241673soft weakly continuous functionssoft pre-continuous functionssoft separation axiomsgenerated soft topology |
| spellingShingle | Samer Al-Ghour Jawaher Al-Mufarrij Soft almost weakly continuous functions and soft Hausdorff spaces AIMS Mathematics soft weakly continuous functions soft pre-continuous functions soft separation axioms generated soft topology |
| title | Soft almost weakly continuous functions and soft Hausdorff spaces |
| title_full | Soft almost weakly continuous functions and soft Hausdorff spaces |
| title_fullStr | Soft almost weakly continuous functions and soft Hausdorff spaces |
| title_full_unstemmed | Soft almost weakly continuous functions and soft Hausdorff spaces |
| title_short | Soft almost weakly continuous functions and soft Hausdorff spaces |
| title_sort | soft almost weakly continuous functions and soft hausdorff spaces |
| topic | soft weakly continuous functions soft pre-continuous functions soft separation axioms generated soft topology |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241673 |
| work_keys_str_mv | AT sameralghour softalmostweaklycontinuousfunctionsandsofthausdorffspaces AT jawaheralmufarrij softalmostweaklycontinuousfunctionsandsofthausdorffspaces |