Stability of a mixed functional equation in several variables on Banach modules

Najati, A; Rassias, TM

dc.contributor.author	Najati, A	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:34:39Z
dc.date.available	2014-03-01T01:34:39Z
dc.date.issued	2010	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20787
dc.subject	Additive function	en
dc.subject	Banach module	en
dc.subject	Fixed point	en
dc.subject	Generalized Hyers-Ulam stability	en
dc.subject	Generalized metric space	en
dc.subject	Quadratic function	en
dc.subject	Unital Banach algebra	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Additive function	en
dc.subject.other	Banach algebra	en
dc.subject.other	Banach modules	en
dc.subject.other	Fixed points	en
dc.subject.other	Generalized metric spaces	en
dc.subject.other	Hyers-Ulam stability	en
dc.subject.other	Quadratic function	en
dc.subject.other	Banach spaces	en
dc.subject.other	Functional analysis	en
dc.subject.other	Functions	en
dc.subject.other	Set theory	en
dc.subject.other	Stability	en
dc.subject.other	Topology	en
dc.subject.other	Nonlinear equations	en
dc.title	Stability of a mixed functional equation in several variables on Banach modules	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2009.09.017	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2009.09.017	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper, we establish the general solution of the functional equation underover(∑, i = 1, n) f (xi - frac(1, n) underover(∑, j = 1, n) xj) = underover(∑, i = 1, n) f (xi) - n f (frac(1, n) underover(∑, i = 1, n) xi) (n ≥ 2), and use a fixed point method to prove its generalized Hyers-Ulam stability in Banach modules over a unital Banach algebra. © 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2009.09.017	en
dc.identifier.isi	ISI:000273188500062	en
dc.identifier.volume	72	en
dc.identifier.issue	3-4	en
dc.identifier.spage	1755	en
dc.identifier.epage	1767	en