Superstability of Generalized Derivations
<p/> <p>We investigate the superstability of the functional equation <inline-formula> <graphic file="1029-242X-2010-740156-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-740156-i2.gif"/></inline-formul...
| 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/2010/740156 |
| Summary: | <p/> <p>We investigate the superstability of the functional equation <inline-formula> <graphic file="1029-242X-2010-740156-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-740156-i2.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-740156-i3.gif"/></inline-formula> are the mappings on Banach algebra <inline-formula> <graphic file="1029-242X-2010-740156-i4.gif"/></inline-formula>. We have also proved the superstability of generalized derivations associated to the linear functional equation <inline-formula> <graphic file="1029-242X-2010-740156-i5.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-740156-i6.gif"/></inline-formula>.</p> |
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| ISSN: | 1025-5834 1029-242X |