Hyers-Ulam stability of a generalized Apollonius type quadratic mapping

Park, C-G; Rassias, ThM

dc.contributor.author	Park, C-G	en
dc.contributor.author	Rassias, ThM	en
dc.date.accessioned	2014-03-01T01:24:29Z
dc.date.available	2014-03-01T01:24:29Z
dc.date.issued	2006	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17287
dc.subject	Hyers-Ulam stability	en
dc.subject	Quadratic mapping of Apollonius type	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	RASSIAS STABILITY	en
dc.subject.other	FUNCTIONAL-EQUATIONS	en
dc.subject.other	BANACH-SPACES	en
dc.title	Hyers-Ulam stability of a generalized Apollonius type quadratic mapping	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jmaa.2005.09.027	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jmaa.2005.09.027	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	Let X,Y be linear spaces. It is shown that if a mapping Q:X→Y satisfies the following functional equation:(0.1)Q((∑i=1nzi)−(∑i=1nxi))+Q((∑i=1nzi)−(∑i=1nyi))=12Q((∑i=1nxi)−(∑i=1nyi))+2Q((∑i=1nzi)−(∑i=1nxi)+(∑i=1nyi)2) then the mapping Q:X→Y is quadratic. We moreover prove the Hyers–Ulam stability of the functional equation (0.1) in Banach spaces.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/j.jmaa.2005.09.027	en
dc.identifier.isi	ISI:000238983700030	en
dc.identifier.volume	322	en
dc.identifier.issue	1	en
dc.identifier.spage	371	en
dc.identifier.epage	381	en