Orthogonal stability of functional equations with the fixed point alternative
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Cho, Yeol Je | - |
dc.contributor.author | Lee, Jung Rye | - |
dc.date.accessioned | 2022-07-16T13:26:37Z | - |
dc.date.available | 2022-07-16T13:26:37Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2012-10 | - |
dc.identifier.issn | 1687-1839 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/164526 | - |
dc.description.abstract | In this paper, we investigate the orthogonal stability of functional equations in orthogonality modules over a unital Banach algebra. Using a fixed point method, we prove the Hyers-Ulam stability of the orthogonally Jensen additive functional equation 2f (x + y /2) = f (x) + f (y), the orthogonally Jensen quadratic functional equation 2f (x + y /2) + 2f (x - y /2) = f (x) + f (y), the orthogonally cubic functional equation f (2x + y) + f (2x - y) = 2f (x + y) + 2f (x - y) + 12f (x), and the orthogonally quartic functional equation f (2x + y) + f (2x - y) = 4f (x + y) + 4f (x - y) + 24f (x) - 6f (y) for all x, y with x perpendicular to y, where perpendicular to is the orthogonality in the sense of Ratz. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGEROPEN | - |
dc.title | Orthogonal stability of functional equations with the fixed point alternative | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1186/1687-1847-2012-173 | - |
dc.identifier.scopusid | 2-s2.0-84873358373 | - |
dc.identifier.wosid | 000320879200003 | - |
dc.identifier.bibliographicCitation | ADVANCES IN DIFFERENCE EQUATIONS, pp.1 - 17 | - |
dc.relation.isPartOf | ADVANCES IN DIFFERENCE EQUATIONS | - |
dc.citation.title | ADVANCES IN DIFFERENCE EQUATIONS | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 17 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | orthogonally (Jensen additive, Jensen quadratic, cubic, quartic) functional equation | - |
dc.subject.keywordAuthor | fixed point | - |
dc.subject.keywordAuthor | orthogonality module over Banach algebra | - |
dc.subject.keywordAuthor | orthogonality space | - |
dc.identifier.url | https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-173 | - |
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