HYERS-ULAM STABILITY OF AN ADDITIVE (ρ1, ρ2)-FUNCTIONAL INEQUALITY IN BANACH SPACES
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Yun, Sungsik | - |
dc.date.accessioned | 2022-07-11T22:11:58Z | - |
dc.date.available | 2022-07-11T22:11:58Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2018-05 | - |
dc.identifier.issn | 1226-0657 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150106 | - |
dc.description.abstract | In 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.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | KOREAN SOC MATHEMATICAL EDUCATION | - |
dc.title | HYERS-ULAM STABILITY OF AN ADDITIVE (ρ1, ρ2)-FUNCTIONAL INEQUALITY IN BANACH SPACES | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.7468/jksmeb.2018.25.2.161 | - |
dc.identifier.wosid | 000436829800008 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, v.25, no.2, pp.161 - 170 | - |
dc.relation.isPartOf | JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | - |
dc.citation.title | JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | - |
dc.citation.volume | 25 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 161 | - |
dc.citation.endPage | 170 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART002347337 | - |
dc.description.journalClass | 2 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | RHO-FUNCTIONAL INEQUALITIES | - |
dc.subject.keywordPlus | NORMED SPACES | - |
dc.subject.keywordPlus | EQUATION | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | additive (ρ1, ρ2)-functional inequality | - |
dc.subject.keywordAuthor | fixed point method | - |
dc.subject.keywordAuthor | direct method | - |
dc.subject.keywordAuthor | Banach space | - |
dc.identifier.url | http://koreascience.or.kr/article/JAKO201817241626935.page | - |
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