Stability of generalized derivations on hilbert c*-modules associated with a pexiderized cauchy-jensen type functional equation

Ebadian, A; Nikoufar, I; Rassias, TM; Ghobadipour, N

dc.contributor.author	Ebadian, A	en
dc.contributor.author	Nikoufar, I	en
dc.contributor.author	Rassias, TM	en
dc.contributor.author	Ghobadipour, N	en
dc.date.accessioned	2014-03-01T02:14:40Z
dc.date.available	2014-03-01T02:14:40Z
dc.date.issued	2012	en
dc.identifier.issn	02529602	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30079
dc.subject	Fixed point	en
dc.subject	Generalized derivation	en
dc.subject	Hilbert C*-module	en
dc.subject	Hyers-Ulam-Rassias stability	en
dc.title	Stability of generalized derivations on hilbert c*-modules associated with a pexiderized cauchy-jensen type functional equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0252-9602(12)60094-0	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0252-9602(12)60094-0	en
heal.publicationDate	2012	en
heal.abstract	In this article, we introduce the notion of generalized derivations on Hilbert C-modules. We use a fixed-point method to prove the generalized Hyers-Ulam-Rassias stability associated to the Pexiderized Cauchy-Jensen type functional equation. rf(x+yr)+sg(x-ys)=2h(x)for r, s ∈ R\{0} on Hilbert C-modules, where . f, g, and . h are mappings from a Hilbert C*-module M to M. © 2012 Wuhan Institute of Physics and Mathematics.	en
heal.journalName	Acta Mathematica Scientia	en
dc.identifier.doi	10.1016/S0252-9602(12)60094-0	en
dc.identifier.volume	32	en
dc.identifier.issue	3	en
dc.identifier.spage	1226	en
dc.identifier.epage	1238	en