Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods
This paper introduces a new dimension of an additive functional equation and obtains its general solution. The main goal of this study is to examine the Ulam stability of this equation in IFN-spaces (intuitionistic fuzzy normed spaces) with the help of direct and fixed point approaches and 2-Banach...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8028634 |
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| author | N. Uthirasamy K. Tamilvanan Masho Jima Kabeto |
| author_facet | N. Uthirasamy K. Tamilvanan Masho Jima Kabeto |
| author_sort | N. Uthirasamy |
| collection | DOAJ |
| description | This paper introduces a new dimension of an additive functional equation and obtains its general solution. The main goal of this study is to examine the Ulam stability of this equation in IFN-spaces (intuitionistic fuzzy normed spaces) with the help of direct and fixed point approaches and 2-Banach spaces. Also, we use an appropriate counterexample to demonstrate that the stability of this equation fails in a particular case. |
| format | Article |
| id | doaj-art-ceecb9799a39468b8efa660e00b174a3 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ceecb9799a39468b8efa660e00b174a32025-02-03T06:11:04ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8028634Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different MethodsN. Uthirasamy0K. Tamilvanan1Masho Jima Kabeto2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThis paper introduces a new dimension of an additive functional equation and obtains its general solution. The main goal of this study is to examine the Ulam stability of this equation in IFN-spaces (intuitionistic fuzzy normed spaces) with the help of direct and fixed point approaches and 2-Banach spaces. Also, we use an appropriate counterexample to demonstrate that the stability of this equation fails in a particular case.http://dx.doi.org/10.1155/2022/8028634 |
| spellingShingle | N. Uthirasamy K. Tamilvanan Masho Jima Kabeto Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods Journal of Function Spaces |
| title | Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods |
| title_full | Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods |
| title_fullStr | Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods |
| title_full_unstemmed | Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods |
| title_short | Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods |
| title_sort | ulam stability and non stability of additive functional equation in ifn spaces and 2 banach spaces by different methods |
| url | http://dx.doi.org/10.1155/2022/8028634 |
| work_keys_str_mv | AT nuthirasamy ulamstabilityandnonstabilityofadditivefunctionalequationinifnspacesand2banachspacesbydifferentmethods AT ktamilvanan ulamstabilityandnonstabilityofadditivefunctionalequationinifnspacesand2banachspacesbydifferentmethods AT mashojimakabeto ulamstabilityandnonstabilityofadditivefunctionalequationinifnspacesand2banachspacesbydifferentmethods |