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HYERS-ULAM STABILITY OF AN ADDITIVE (ρ1, ρ2)-FUNCTIONAL INEQUALITY IN BANACH SPACES

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dc.contributor.authorPark, Choonkil-
dc.contributor.authorYun, Sungsik-
dc.date.accessioned2022-07-11T22:11:58Z-
dc.date.available2022-07-11T22:11:58Z-
dc.date.created2021-05-12-
dc.date.issued2018-05-
dc.identifier.issn1226-0657-
dc.identifier.urihttps://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150106-
dc.description.abstractIn this paper, we introduce and solve the following additive (rho 1, rho 2) functional inequality (0.1) parallel to f (x + y + z) - f (x) - f(y) - f(z)parallel to <= parallel to rho 1 (f(x + z) - f(x) - f(z)parallel to + parallel to rho 2 (f(y + z) - f(y) - f(z))parallel to , where pi and rho 2 are fixed nonzero complex numbers with vertical bar rho 1 vertical bar+vertical bar rho 2 vertical bar < 2. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (rho 1, rho 2) -functional inequality (0.1) in complex Banach spaces.-
dc.language영어-
dc.language.isoen-
dc.publisherKOREAN SOC MATHEMATICAL EDUCATION-
dc.titleHYERS-ULAM STABILITY OF AN ADDITIVE (ρ1, ρ2)-FUNCTIONAL INEQUALITY IN BANACH SPACES-
dc.typeArticle-
dc.contributor.affiliatedAuthorPark, Choonkil-
dc.identifier.doi10.7468/jksmeb.2018.25.2.161-
dc.identifier.wosid000436829800008-
dc.identifier.bibliographicCitationJOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, v.25, no.2, pp.161 - 170-
dc.relation.isPartOfJOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS-
dc.citation.titleJOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS-
dc.citation.volume25-
dc.citation.number2-
dc.citation.startPage161-
dc.citation.endPage170-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.identifier.kciidART002347337-
dc.description.journalClass2-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClasskci-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusRHO-FUNCTIONAL INEQUALITIES-
dc.subject.keywordPlusNORMED SPACES-
dc.subject.keywordPlusEQUATION-
dc.subject.keywordAuthorHyers-Ulam stability-
dc.subject.keywordAuthoradditive (ρ1, ρ2)-functional inequality-
dc.subject.keywordAuthorfixed point method-
dc.subject.keywordAuthordirect method-
dc.subject.keywordAuthorBanach space-
dc.identifier.urlhttp://koreascience.or.kr/article/JAKO201817241626935.page-
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