Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric Spaces
In this paper we introduced the definition of standard fuzzy metric spaces then we discussed several properties of this space after some illustrative examples are given. Then we defined a continuous mapping from standard fuzzy metric space (X,M_X,*) into a standard fuzzy metric space (Y,M_Y,*) after...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Unviversity of Technology- Iraq
2014-06-01
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| Series: | Engineering and Technology Journal |
| Subjects: | |
| Online Access: | https://etj.uotechnology.edu.iq/article_105266_a20541a5757823b601e1ec3828463253.pdf |
| _version_ | 1827358601945022464 |
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| author | Jehad R.Kider Zeina A.Hussain |
| author_facet | Jehad R.Kider Zeina A.Hussain |
| author_sort | Jehad R.Kider |
| collection | DOAJ |
| description | In this paper we introduced the definition of standard fuzzy metric spaces then we discussed several properties of this space after some illustrative examples are given. Then we defined a continuous mapping from standard fuzzy metric space (X,M_X,*) into a standard fuzzy metric space (Y,M_Y,*) after that we proved some basic theorems of a continuous mappings. Finally we defined uniformly continuous mapping from a standard fuzzy metric space (X,M_X,*) into a standard fuzzy metric space (Y,M_Y,*) then we proved several properties of uniformly continuous mapping. |
| first_indexed | 2024-03-08T06:13:16Z |
| format | Article |
| id | doaj.art-42b78fb4de464d6da9e82a7a381c4224 |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T06:13:16Z |
| publishDate | 2014-06-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-42b78fb4de464d6da9e82a7a381c42242024-02-04T17:30:56ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582014-06-01326B1111111910.30684/etj.32.6B.10105266Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric SpacesJehad R.KiderZeina A.HussainIn this paper we introduced the definition of standard fuzzy metric spaces then we discussed several properties of this space after some illustrative examples are given. Then we defined a continuous mapping from standard fuzzy metric space (X,M_X,*) into a standard fuzzy metric space (Y,M_Y,*) after that we proved some basic theorems of a continuous mappings. Finally we defined uniformly continuous mapping from a standard fuzzy metric space (X,M_X,*) into a standard fuzzy metric space (Y,M_Y,*) then we proved several properties of uniformly continuous mapping.https://etj.uotechnology.edu.iq/article_105266_a20541a5757823b601e1ec3828463253.pdfstandard fuzzy metric spacecontinuous mappinguniformly continuous mapping |
| spellingShingle | Jehad R.Kider Zeina A.Hussain Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric Spaces Engineering and Technology Journal standard fuzzy metric space continuous mapping uniformly continuous mapping |
| title | Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric Spaces |
| title_full | Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric Spaces |
| title_fullStr | Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric Spaces |
| title_full_unstemmed | Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric Spaces |
| title_short | Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric Spaces |
| title_sort | continuous and uniform continuous mappings on a standard fuzzy metric spaces |
| topic | standard fuzzy metric space continuous mapping uniformly continuous mapping |
| url | https://etj.uotechnology.edu.iq/article_105266_a20541a5757823b601e1ec3828463253.pdf |
| work_keys_str_mv | AT jehadrkider continuousanduniformcontinuousmappingsonastandardfuzzymetricspaces AT zeinaahussain continuousanduniformcontinuousmappingsonastandardfuzzymetricspaces |