Soft α-Open Sets and Soft α-Continuous Functions
We introduce soft α-sets on soft topological spaces and study some of their properties. We also investigate the concepts of soft α-continuous and soft α-open functions and discuss their relationships with soft continuous and other weaker forms of soft continuous functions. Also counterexamples are g...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/891341 |
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| _version_ | 1832551374506688512 |
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| author | Metin Akdag Alkan Ozkan |
| author_facet | Metin Akdag Alkan Ozkan |
| author_sort | Metin Akdag |
| collection | DOAJ |
| description | We introduce soft α-sets on soft topological spaces and study some of their properties. We also investigate the concepts of soft α-continuous and soft α-open functions and discuss their relationships with soft continuous and other weaker forms of soft continuous functions. Also counterexamples are given to show the noncoincidence of these functions. |
| format | Article |
| id | doaj-art-127d8c51ae6c40fa93d52b95464b990d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-127d8c51ae6c40fa93d52b95464b990d2025-02-03T06:01:32ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/891341891341Soft α-Open Sets and Soft α-Continuous FunctionsMetin Akdag0Alkan Ozkan1Department of Mathematics, Cumhuriyet University, 58140 SİVAS, TurkeyDepartment of Mathematics, Cumhuriyet University, 58140 SİVAS, TurkeyWe introduce soft α-sets on soft topological spaces and study some of their properties. We also investigate the concepts of soft α-continuous and soft α-open functions and discuss their relationships with soft continuous and other weaker forms of soft continuous functions. Also counterexamples are given to show the noncoincidence of these functions.http://dx.doi.org/10.1155/2014/891341 |
| spellingShingle | Metin Akdag Alkan Ozkan Soft α-Open Sets and Soft α-Continuous Functions Abstract and Applied Analysis |
| title | Soft α-Open Sets and Soft α-Continuous Functions |
| title_full | Soft α-Open Sets and Soft α-Continuous Functions |
| title_fullStr | Soft α-Open Sets and Soft α-Continuous Functions |
| title_full_unstemmed | Soft α-Open Sets and Soft α-Continuous Functions |
| title_short | Soft α-Open Sets and Soft α-Continuous Functions |
| title_sort | soft α open sets and soft α continuous functions |
| url | http://dx.doi.org/10.1155/2014/891341 |
| work_keys_str_mv | AT metinakdag softaopensetsandsoftacontinuousfunctions AT alkanozkan softaopensetsandsoftacontinuousfunctions |