On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces
The objective of the present paper is to determine the generalized Hyers-Ulam stability of the mixed additive-cubic functional equation in n-Banach spaces by the direct method. In addition, we show under some suitable conditions that an approximately mixed additive-cubic function can be approximated...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/926390 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551579667922944 |
|---|---|
| author | Tian Zhou Xu John Michael Rassias |
| author_facet | Tian Zhou Xu John Michael Rassias |
| author_sort | Tian Zhou Xu |
| collection | DOAJ |
| description | The objective of the present paper is to determine the generalized Hyers-Ulam stability of the mixed additive-cubic functional equation in n-Banach spaces by the direct method. In addition, we show under some suitable conditions that an approximately mixed additive-cubic function can be approximated by a mixed additive and cubic mapping. |
| format | Article |
| id | doaj-art-091bcb9bafb846e9a9b8c04e8daa0670 |
| 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-091bcb9bafb846e9a9b8c04e8daa06702025-02-03T06:00:58ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/926390926390On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach SpacesTian Zhou Xu0John Michael Rassias1School of Mathematics, Beijing Institute of Technology, Beijing 100081, ChinaPedagogical Department E.E., Section of Mathematics and Informatics, National and Kapodistrian University of Athens, 4 Agamemnonos Street, Aghia Paraskevi, Athens 15342, GreeceThe objective of the present paper is to determine the generalized Hyers-Ulam stability of the mixed additive-cubic functional equation in n-Banach spaces by the direct method. In addition, we show under some suitable conditions that an approximately mixed additive-cubic function can be approximated by a mixed additive and cubic mapping.http://dx.doi.org/10.1155/2012/926390 |
| spellingShingle | Tian Zhou Xu John Michael Rassias On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces Abstract and Applied Analysis |
| title | On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces |
| title_full | On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces |
| title_fullStr | On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces |
| title_full_unstemmed | On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces |
| title_short | On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces |
| title_sort | on the hyers ulam stability of a general mixed additive and cubic functional equation in n banach spaces |
| url | http://dx.doi.org/10.1155/2012/926390 |
| work_keys_str_mv | AT tianzhouxu onthehyersulamstabilityofageneralmixedadditiveandcubicfunctionalequationinnbanachspaces AT johnmichaelrassias onthehyersulamstabilityofageneralmixedadditiveandcubicfunctionalequationinnbanachspaces |