On the Stability of Generalized Quartic Mappings in Quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i1.gif"/></inline-formula>-Normed Spaces

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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Main Author: Kang Dongseung
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/198098
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spelling doaj-34b96eccc2384039a1e4bb4e6471a1a62020-11-24T21:24:56ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101198098On the Stability of Generalized Quartic Mappings in Quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i1.gif"/></inline-formula>-Normed SpacesKang Dongseung<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>http://www.journalofinequalitiesandapplications.com/content/2010/198098
collection DOAJ
language English
format Article
sources DOAJ
author Kang Dongseung
spellingShingle Kang Dongseung
On the Stability of Generalized Quartic Mappings in Quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i1.gif"/></inline-formula>-Normed Spaces
Journal of Inequalities and Applications
author_facet Kang Dongseung
author_sort Kang Dongseung
title On the Stability of Generalized Quartic Mappings in Quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i1.gif"/></inline-formula>-Normed Spaces
title_short On the Stability of Generalized Quartic Mappings in Quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i1.gif"/></inline-formula>-Normed Spaces
title_full On the Stability of Generalized Quartic Mappings in Quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i1.gif"/></inline-formula>-Normed Spaces
title_fullStr On the Stability of Generalized Quartic Mappings in Quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i1.gif"/></inline-formula>-Normed Spaces
title_full_unstemmed On the Stability of Generalized Quartic Mappings in Quasi-<inline-formula> <graphic file="1029-242X-2010-198098-i1.gif"/></inline-formula>-Normed Spaces
title_sort on the stability of generalized quartic mappings in quasi-<inline-formula> <graphic file="1029-242x-2010-198098-i1.gif"/></inline-formula>-normed spaces
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <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>
url http://www.journalofinequalitiesandapplications.com/content/2010/198098
work_keys_str_mv AT kangdongseung onthestabilityofgeneralizedquarticmappingsinquasiinlineformulagraphicfile1029242x2010198098i1gifinlineformulanormedspaces
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