Fixed Points and Stability for Quadratic Mappings in β-Normed Left Banach Modules on Banach Algebras

Gordji, ME; Khodaei, H; Rassias, TM

dc.contributor.author	Gordji, ME	en
dc.contributor.author	Khodaei, H	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T02:09:09Z
dc.date.available	2014-03-01T02:09:09Z
dc.date.issued	2012	en
dc.identifier.issn	14226383	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29775
dc.subject	Banach module	en
dc.subject	fixed point method	en
dc.subject	Generalized Hyers-Ulam stability	en
dc.subject	generalized metricspace	en
dc.subject	quadratic functional equation	en
dc.subject	unital Banach algebra	en
dc.title	Fixed Points and Stability for Quadratic Mappings in β-Normed Left Banach Modules on Banach Algebras	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00025-011-0123-z	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00025-011-0123-z	en
heal.publicationDate	2012	en
heal.abstract	The goal of the present paper is to investigate some new stability results by applying the alternative fixed point of generalized quadratic functional equation, in β-Banach modules on Banach algebras, where a1,..., an ∈ ℤ\{0} and some ℓ ∈ {1,2,..., n-1}, aℓ ≠ ±1 and an = 1, where n is a positive integer greater or at least equal to two. © 2011 Springer Basel AG.	en
heal.journalName	Results in Mathematics	en
dc.identifier.doi	10.1007/s00025-011-0123-z	en
dc.identifier.volume	61	en
dc.identifier.issue	3-4	en
dc.identifier.spage	393	en
dc.identifier.epage	400	en