Jensen type quadratic-quadratic mapping in Banach spaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Hong, Seong-Ki | - |
dc.contributor.author | Kim, Myoung-Jung | - |
dc.date.accessioned | 2022-12-21T09:53:02Z | - |
dc.date.available | 2022-12-21T09:53:02Z | - |
dc.date.created | 2022-09-16 | - |
dc.date.issued | 2006-11 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/180760 | - |
dc.description.abstract | Let X, Y be vector spaces. It is shown that if an even mapping f : X → Y satisfies f(0) = 0 and f(x + y/2 + z) + f(x + y/2 - z) + f(x - y/2 + z) (0.1) + f(x - y/2 - z) = f(x) + f(y) + 4f(z) for all x, y, z ∈ X, then the mapping f : X → Y is quadratic. Furthermore, we prove the Cauchy-Rassias stability of the functional equation (0.1) in Banach spaces. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | Korean Mathematical Society | - |
dc.title | Jensen type quadratic-quadratic mapping in Banach spaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.4134/BKMS.2006.43.4.703 | - |
dc.identifier.scopusid | 2-s2.0-33845409190 | - |
dc.identifier.bibliographicCitation | Bulletin of the Korean Mathematical Society, v.43, no.4, pp.703 - 709 | - |
dc.relation.isPartOf | Bulletin of the Korean Mathematical Society | - |
dc.citation.title | Bulletin of the Korean Mathematical Society | - |
dc.citation.volume | 43 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 703 | - |
dc.citation.endPage | 709 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001105955 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.subject.keywordAuthor | Cauchy Rassias stability | - |
dc.subject.keywordAuthor | Functional equation | - |
dc.subject.keywordAuthor | Quadratic mapping | - |
dc.identifier.url | http://koreascience.or.kr/article/JAKO200606140769969.page | - |
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