Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations
In this paper we establish Hyers-Ulam-Rassias stability of a generalized functional equation in fuzzy Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/43662 |
| _version_ | 1797633484105187328 |
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| author | Zahra Zamani Bahman Yousefi Hassan Azadi Kenary |
| author_facet | Zahra Zamani Bahman Yousefi Hassan Azadi Kenary |
| author_sort | Zahra Zamani |
| collection | DOAJ |
| description |
In this paper we establish Hyers-Ulam-Rassias stability of a generalized functional equation in fuzzy Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-30.
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| first_indexed | 2024-03-11T11:54:39Z |
| format | Article |
| id | doaj.art-3b8ae03fb2194ec6961b9b6379890dab |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:39Z |
| publishDate | 2022-01-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-3b8ae03fb2194ec6961b9b6379890dab2023-11-08T19:49:47ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-01-014010.5269/bspm.43662Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equationsZahra Zamani0Bahman Yousefi1Hassan Azadi Kenary2Payam Nour UniversityPayam Nour UniversityYasouj University In this paper we establish Hyers-Ulam-Rassias stability of a generalized functional equation in fuzzy Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-30. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/43662 |
| spellingShingle | Zahra Zamani Bahman Yousefi Hassan Azadi Kenary Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations Boletim da Sociedade Paranaense de Matemática |
| title | Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations |
| title_full | Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations |
| title_fullStr | Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations |
| title_full_unstemmed | Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations |
| title_short | Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations |
| title_sort | fuzzy hyers ulam rassias stability for generalized additive functional equations |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/43662 |
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