Stability Problems of Quintic Mappings in Quasi-β-Normed Spaces

Stability Problems of Quintic Mappings in Quasi-β-Normed Spaces

We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi-β-normed spaces and then the stability by using a subadditive function for the quintic function f:X→Y such that 2f(2x+y)+2f(2x−y)+f(x+2y)+f(x−2y)=20[f(x+y)+f(x−y)]+90f(...

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Main Authors: In Goo Cho, Dongseung Kang, Heejeong Koh
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/368981
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spelling doaj-3c76997f3f27429a9541719ae9957ef02020-11-25T00:29:52ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/368981Stability Problems of Quintic Mappings in Quasi-β-Normed SpacesIn Goo ChoDongseung KangHeejeong KohWe investigate the generalized Hyers-Ulam-Rassias stability problem in quasi-β-normed spaces and then the stability by using a subadditive function for the quintic function f:X→Y such that 2f(2x+y)+2f(2x−y)+f(x+2y)+f(x−2y)=20[f(x+y)+f(x−y)]+90f(x), for all x,y∈X. http://dx.doi.org/10.1155/2010/368981
collection DOAJ
language English
format Article
sources DOAJ
author In Goo Cho
Dongseung Kang
Heejeong Koh
spellingShingle In Goo Cho
Dongseung Kang
Heejeong Koh
Stability Problems of Quintic Mappings in Quasi-β-Normed Spaces
Journal of Inequalities and Applications
author_facet In Goo Cho
Dongseung Kang
Heejeong Koh
author_sort In Goo Cho
title Stability Problems of Quintic Mappings in Quasi-β-Normed Spaces
title_short Stability Problems of Quintic Mappings in Quasi-β-Normed Spaces
title_full Stability Problems of Quintic Mappings in Quasi-β-Normed Spaces
title_fullStr Stability Problems of Quintic Mappings in Quasi-β-Normed Spaces
title_full_unstemmed Stability Problems of Quintic Mappings in Quasi-β-Normed Spaces
title_sort stability problems of quintic mappings in quasi-β-normed spaces
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi-β-normed spaces and then the stability by using a subadditive function for the quintic function f:X→Y such that 2f(2x+y)+2f(2x−y)+f(x+2y)+f(x−2y)=20[f(x+y)+f(x−y)]+90f(x), for all x,y∈X.
url http://dx.doi.org/10.1155/2010/368981
work_keys_str_mv AT ingoocho stabilityproblemsofquinticmappingsinquasix03b2normedspaces
AT dongseungkang stabilityproblemsofquinticmappingsinquasix03b2normedspaces
AT heejeongkoh stabilityproblemsofquinticmappingsinquasix03b2normedspaces
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