On the Stability of Generalized Quartic Mappings in Quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i1.gif"/></inline-formula>-Normed Spaces
<p/> <p>We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i2.gif"/></inline-formula>-normed spaces and then the stability by using a subadditive function for the generalized quart...
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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/2010/198098 |
| Summary: | <p/> <p>We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i2.gif"/></inline-formula>-normed spaces and then the stability by using a subadditive function for the generalized quartic function <inline-formula> <graphic file="1029-242X-2010-198098-i3.gif"/></inline-formula> such that <inline-formula> <graphic file="1029-242X-2010-198098-i4.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-198098-i5.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-198098-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-198098-i7.gif"/></inline-formula>, for all <inline-formula> <graphic file="1029-242X-2010-198098-i8.gif"/></inline-formula>.</p> |
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| ISSN: | 1025-5834 1029-242X |