Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces
We define and study the concept of non-Archimedean intuitionistic fuzzy normed space by using the idea of t-norm and t-conorm. Furthermore, by using the non-Archimedean intuitionistic fuzzy normed space, we investigate the stability of various functional equations. That is, we determine some stabili...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/234727 |
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| author | Syed Abdul Mohiuddine Abdullah Alotaibi Mustafa Obaid |
| author_facet | Syed Abdul Mohiuddine Abdullah Alotaibi Mustafa Obaid |
| author_sort | Syed Abdul Mohiuddine |
| collection | DOAJ |
| description | We define and study the concept of non-Archimedean intuitionistic fuzzy normed space by using the idea of t-norm and t-conorm. Furthermore, by using the non-Archimedean intuitionistic fuzzy normed space, we investigate the stability of various functional equations. That is, we determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean IFN spaces. |
| format | Article |
| id | doaj-art-2e62d967a0a34395a80c48ef2ca9e733 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2e62d967a0a34395a80c48ef2ca9e7332025-02-03T01:11:35ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/234727234727Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed SpacesSyed Abdul Mohiuddine0Abdullah Alotaibi1Mustafa Obaid2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe define and study the concept of non-Archimedean intuitionistic fuzzy normed space by using the idea of t-norm and t-conorm. Furthermore, by using the non-Archimedean intuitionistic fuzzy normed space, we investigate the stability of various functional equations. That is, we determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean IFN spaces.http://dx.doi.org/10.1155/2012/234727 |
| spellingShingle | Syed Abdul Mohiuddine Abdullah Alotaibi Mustafa Obaid Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces Discrete Dynamics in Nature and Society |
| title | Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces |
| title_full | Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces |
| title_fullStr | Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces |
| title_full_unstemmed | Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces |
| title_short | Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces |
| title_sort | stability of various functional equations in non archimedean intuitionistic fuzzy normed spaces |
| url | http://dx.doi.org/10.1155/2012/234727 |
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