A Functional Inequality in Restricted Domains of Banach Modules

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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Main Authors: M. B. Moghimi, Abbas Najati, Choonkil Park
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2009/973709
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spelling 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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AT abbasnajati afunctionalinequalityinrestricteddomainsofbanachmodules
AT choonkilpark afunctionalinequalityinrestricteddomainsofbanachmodules
AT mbmoghimi functionalinequalityinrestricteddomainsofbanachmodules
AT abbasnajati functionalinequalityinrestricteddomainsofbanachmodules
AT choonkilpark functionalinequalityinrestricteddomainsofbanachmodules
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