On the stability of functional equations and a problem of Ulam

Rassias, TM

dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T11:44:28Z
dc.date.available	2014-03-01T11:44:28Z
dc.date.issued	2000	en
dc.identifier.issn	0167-8019	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36961
dc.subject	stability	en
dc.subject	functional equations	en
dc.subject	Cauchy difference	en
dc.subject	semigroup	en
dc.subject	inequalities	en
dc.subject	approximate	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	APPROXIMATELY ADDITIVE MAPPINGS	en
dc.subject.other	RASSIAS STABILITY	en
dc.subject.other	NORMED SPACES	en
dc.subject.other	ALGEBRAS	en
dc.subject.other	CAUCHY	en
dc.title	On the stability of functional equations and a problem of Ulam	en
heal.type	other	en
heal.identifier.primary	10.1023/A:1006499223572	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1006499223572	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	In this paper, we study the stability of functional equations that has its origins with S. M. Ulam, who posed the fundamental problem 60 years ago and with D. H. Hyers, who gave the first significant partial solution in 1941. In particular, during the last two decades, the notion of stability of functional equations has evolved into an area of continuing research from both pure and applied viewpoints. Both classical results and current research are presented in a unified and self-contained fashion. In addition, related problems are investigated. Some of the applications deal with nonlinear equations in Banach spaces and complementarity theory.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	ACTA APPLICANDAE MATHEMATICAE	en
dc.identifier.doi	10.1023/A:1006499223572	en
dc.identifier.isi	ISI:000089335500002	en
dc.identifier.volume	62	en
dc.identifier.issue	1	en
dc.identifier.spage	23	en
dc.identifier.epage	130	en