A Functional Inequality in Restricted Domains of Banach Modules
We investigate the stability problem for the following functional inequality ∥αf((x+y)/2α)+βf((y+z)/2β)+γf((z+x)/2γ)∥≤∥f(x+y+z)∥ on restricted domains of Banach modules over a C&a...
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2009-01-01
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Series: | Advances in Difference Equations |
Online Access: | http://dx.doi.org/10.1155/2009/973709 |
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doaj-ba223947638c45e5ab062481e22c054f2020-11-25T00:58:55ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-01200910.1155/2009/973709A Functional Inequality in Restricted Domains of Banach ModulesM. B. MoghimiAbbas NajatiChoonkil ParkWe investigate the stability problem for the following functional inequality ∥αf((x+y)/2α)+βf((y+z)/2β)+γf((z+x)/2γ)∥≤∥f(x+y+z)∥ on restricted domains of Banach modules over a C∗-algebra. As an application we study the asymptotic behavior of a generalized additive mapping. http://dx.doi.org/10.1155/2009/973709 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
M. B. Moghimi Abbas Najati Choonkil Park |
spellingShingle |
M. B. Moghimi Abbas Najati Choonkil Park A Functional Inequality in Restricted Domains of Banach Modules Advances in Difference Equations |
author_facet |
M. B. Moghimi Abbas Najati Choonkil Park |
author_sort |
M. B. Moghimi |
title |
A Functional Inequality in Restricted Domains of Banach Modules |
title_short |
A Functional Inequality in Restricted Domains of Banach Modules |
title_full |
A Functional Inequality in Restricted Domains of Banach Modules |
title_fullStr |
A Functional Inequality in Restricted Domains of Banach Modules |
title_full_unstemmed |
A Functional Inequality in Restricted Domains of Banach Modules |
title_sort |
functional inequality in restricted domains of banach modules |
publisher |
SpringerOpen |
series |
Advances in Difference Equations |
issn |
1687-1839 1687-1847 |
publishDate |
2009-01-01 |
description |
We investigate the stability problem for the following functional inequality ∥αf((x+y)/2α)+βf((y+z)/2β)+γf((z+x)/2γ)∥≤∥f(x+y+z)∥ on restricted domains of Banach modules over a C∗-algebra. As an application we study the asymptotic behavior of a generalized additive mapping. |
url |
http://dx.doi.org/10.1155/2009/973709 |
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