Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces
By using fixed point methods and direct method, we establish the generalized Hyers-Ulam stability of the following additive-quadratic functional equation f(x+ky)+f(x−ky)=f(x+y)+f(x−y)+(2(k+1)/k)f(ky)−2(k+1)f(y) for fixed integers k with k≠0,±1 in fuzzy Banach spaces.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/953938 |
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| _version_ | 1849467632219062272 |
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| author | M. Eshaghi Gordji H. Azadi Kenary H. Rezaei Y. W. Lee G. H. Kim |
| author_facet | M. Eshaghi Gordji H. Azadi Kenary H. Rezaei Y. W. Lee G. H. Kim |
| author_sort | M. Eshaghi Gordji |
| collection | DOAJ |
| description | By using fixed point methods and direct method, we establish the
generalized Hyers-Ulam stability of the following additive-quadratic functional equation f(x+ky)+f(x−ky)=f(x+y)+f(x−y)+(2(k+1)/k)f(ky)−2(k+1)f(y) for fixed integers k with k≠0,±1 in fuzzy Banach spaces. |
| format | Article |
| id | doaj-art-e78fb2e09a9d4e67a091913bba639514 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e78fb2e09a9d4e67a091913bba6395142025-08-20T03:26:09ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/953938953938Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach SpacesM. Eshaghi Gordji0H. Azadi Kenary1H. Rezaei2Y. W. Lee3G. H. Kim4Department of Mathematics, Semnan University, Semnan 35131-19111, IranDepartment of Mathematics, Yasouj University, Yasouj 75918-74831, IranDepartment of Mathematics, Yasouj University, Yasouj 75918-74831, IranDepartment of Computer Hacking and Information Security, Daejeon University, Youngwoondong Donggu, Daejeon 300-716, Republic of KoreaDepartment of Mathematics, Kangnam University, Yongin, Gyeonggi 446-702, Republic of KoreaBy using fixed point methods and direct method, we establish the generalized Hyers-Ulam stability of the following additive-quadratic functional equation f(x+ky)+f(x−ky)=f(x+y)+f(x−y)+(2(k+1)/k)f(ky)−2(k+1)f(y) for fixed integers k with k≠0,±1 in fuzzy Banach spaces.http://dx.doi.org/10.1155/2012/953938 |
| spellingShingle | M. Eshaghi Gordji H. Azadi Kenary H. Rezaei Y. W. Lee G. H. Kim Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces Abstract and Applied Analysis |
| title | Solution and Hyers-Ulam-Rassias Stability of
Generalized Mixed Type Additive-Quadratic
Functional Equations in Fuzzy Banach Spaces |
| title_full | Solution and Hyers-Ulam-Rassias Stability of
Generalized Mixed Type Additive-Quadratic
Functional Equations in Fuzzy Banach Spaces |
| title_fullStr | Solution and Hyers-Ulam-Rassias Stability of
Generalized Mixed Type Additive-Quadratic
Functional Equations in Fuzzy Banach Spaces |
| title_full_unstemmed | Solution and Hyers-Ulam-Rassias Stability of
Generalized Mixed Type Additive-Quadratic
Functional Equations in Fuzzy Banach Spaces |
| title_short | Solution and Hyers-Ulam-Rassias Stability of
Generalized Mixed Type Additive-Quadratic
Functional Equations in Fuzzy Banach Spaces |
| title_sort | solution and hyers ulam rassias stability of generalized mixed type additive quadratic functional equations in fuzzy banach spaces |
| url | http://dx.doi.org/10.1155/2012/953938 |
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