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An additive (α,β)-functional equation and linear mappings in Banach spaces

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dc.contributor.authorPark, Choonkil-
dc.date.accessioned2022-07-15T07:16:17Z-
dc.date.available2022-07-15T07:16:17Z-
dc.date.issued2016-09-
dc.identifier.issn1661-7746-
dc.identifier.issn1661-7746-
dc.identifier.urihttps://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/154034-
dc.description.abstractIn this paper, we investigate the additive (α,β)-functional equation f(x+y)+α¯f(αz)=β−1f(β(x+y+z)) for all complex numbers α with |α|=1 and for a fixed nonzero complex number β. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of this additive (α,β)-functional equation in complex Banach spaces.-
dc.format.extent10-
dc.language영어-
dc.language.isoENG-
dc.publisherBirkhauser Verlag-
dc.titleAn additive (α,β)-functional equation and linear mappings in Banach spaces-
dc.typeArticle-
dc.publisher.location스위스-
dc.identifier.doi10.1007/s11784-016-0283-2-
dc.identifier.scopusid2-s2.0-84961210198-
dc.identifier.wosid000384551700004-
dc.identifier.bibliographicCitationJournal of Fixed Point Theory and Applications, v.18, no.3, pp 495 - 504-
dc.citation.titleJournal of Fixed Point Theory and Applications-
dc.citation.volume18-
dc.citation.number3-
dc.citation.startPage495-
dc.citation.endPage504-
dc.type.docTypeArticle-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusCAUCHY FUNCTIONAL-EQUATION-
dc.subject.keywordPlusGENERALIZED STABILITY-
dc.subject.keywordPlusFIXED-POINTS-
dc.subject.keywordAuthorHyers-Ulam stability-
dc.subject.keywordAuthoradditive (alpha,beta)-functional equation-
dc.subject.keywordAuthorC-linear mapping-
dc.subject.keywordAuthorfixed point method-
dc.subject.keywordAuthordirect method-
dc.subject.keywordAuthorcomplex Banach space-
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