On the stability of a mixed n-dimensional quadratic functional equation

Chu, H-Y; Kang, DS; Rassias, TM

dc.contributor.author	Chu, H-Y	en
dc.contributor.author	Kang, DS	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:28:57Z
dc.date.available	2014-03-01T01:28:57Z
dc.date.issued	2008	en
dc.identifier.issn	1370-1444	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19042
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-42349100907&partnerID=40&md5=382233909e524db9ed7f15759cb9914c	en
dc.subject	Hyers-ulam-rassias stability	en
dc.subject	Quadratic mapping	en
dc.subject.classification	Mathematics	en
dc.subject.other	ULAM-RASSIAS STABILITY	en
dc.subject.other	BANACH-SPACES	en
dc.subject.other	MAPPINGS	en
dc.title	On the stability of a mixed n-dimensional quadratic functional equation	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper, we investigate the modified Hyers-Ulam stability of a mixed n-dimensional quadratic functional equation in Banach spaces and also Banach modules over a Banach algebra and a C*-algebra. Finally, we study the stability using the alternative fixed point of the functional equation in Banach spaces: (n-2)C(m-2)f(Sigma(n)(j=1)x(j)) + C-n-2(m-1) Sigma(n)(i=1) f(x(i)) = Sigma(1 <= iI<...<im <= n) f(x(iI) + ... + x(im)), for all x(j) (j = 1, ..., n) where n >= 3 is an integer number and 2 <= Ta <= n - 1.	en
heal.publisher	BELGIAN MATHEMATICAL SOC TRIOMPHE	en
heal.journalName	Bulletin of the Belgian Mathematical Society - Simon Stevin	en
dc.identifier.isi	ISI:000255315100002	en
dc.identifier.volume	15	en
dc.identifier.issue	1	en
dc.identifier.spage	9	en
dc.identifier.epage	24	en