Stability of Approximate Quadratic Mappings
<p/> <p>We investigate the general solution of the quadratic functional equation <inline-formula> <graphic file="1029-242X-2010-184542-i1.gif"/></inline-formula>, in the class of all functions between quasi-<inline-formula> <graphic file="1029-24...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/184542 |
| _version_ | 1818432393832300544 |
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| author | Kim Hark-Mahn Kim Minyoung Lee Juri |
| author_facet | Kim Hark-Mahn Kim Minyoung Lee Juri |
| author_sort | Kim Hark-Mahn |
| collection | DOAJ |
| description | <p/> <p>We investigate the general solution of the quadratic functional equation <inline-formula> <graphic file="1029-242X-2010-184542-i1.gif"/></inline-formula>, in the class of all functions between quasi-<inline-formula> <graphic file="1029-242X-2010-184542-i2.gif"/></inline-formula>-normed spaces, and then we prove the generalized Hyers-Ulam stability of the equation by using direct method and fixed point method.</p> |
| first_indexed | 2024-12-14T16:04:30Z |
| format | Article |
| id | doaj.art-4905921a9fc34791858ad14b8f41229c |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-14T16:04:30Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-4905921a9fc34791858ad14b8f41229c2022-12-21T22:55:07ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101184542Stability of Approximate Quadratic MappingsKim Hark-MahnKim MinyoungLee Juri<p/> <p>We investigate the general solution of the quadratic functional equation <inline-formula> <graphic file="1029-242X-2010-184542-i1.gif"/></inline-formula>, in the class of all functions between quasi-<inline-formula> <graphic file="1029-242X-2010-184542-i2.gif"/></inline-formula>-normed spaces, and then we prove the generalized Hyers-Ulam stability of the equation by using direct method and fixed point method.</p>http://www.journalofinequalitiesandapplications.com/content/2010/184542 |
| spellingShingle | Kim Hark-Mahn Kim Minyoung Lee Juri Stability of Approximate Quadratic Mappings Journal of Inequalities and Applications |
| title | Stability of Approximate Quadratic Mappings |
| title_full | Stability of Approximate Quadratic Mappings |
| title_fullStr | Stability of Approximate Quadratic Mappings |
| title_full_unstemmed | Stability of Approximate Quadratic Mappings |
| title_short | Stability of Approximate Quadratic Mappings |
| title_sort | stability of approximate quadratic mappings |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/184542 |
| work_keys_str_mv | AT kimharkmahn stabilityofapproximatequadraticmappings AT kimminyoung stabilityofapproximatequadraticmappings AT leejuri stabilityofapproximatequadraticmappings |