Fixed points and quadratic rho-functional equations
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Kim, Sang Og | - |
dc.date.accessioned | 2022-07-15T19:34:40Z | - |
dc.date.available | 2022-07-15T19:34:40Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2016 | - |
dc.identifier.issn | 2008-1898 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/155504 | - |
dc.description.abstract | In this paper, we solve the quadratic rho-functional equations f (x + y) + f (x - y) - 2f (x) - 2f (y) = rho(2f (x + y/2) + 2f (x - y/2) - f (x) - f (y)), (1) where rho is a fixed non-Archimedean number or a fixed real or complex number with rho not equal 1, 2, and 2f (x + y/2) + 2f (x - y/2) - f(x) - f(y) = rho(x + y) + f(x - y) - 2f(x) - 2f (y)) where rho is a fixed non-Archimedean number or a fixed real or complex number with rho not equal -1, 1/2. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic rho-functional equations (1) and (2) in non-Archimedean Banach spaces and in Banach spaces. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | INT SCIENTIFIC RESEARCH PUBLICATIONS | - |
dc.title | Fixed points and quadratic rho-functional equations | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.22436/jnsa.009.04.39 | - |
dc.identifier.scopusid | 2-s2.0-84955605797 | - |
dc.identifier.wosid | 000373507700039 | - |
dc.identifier.bibliographicCitation | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v.9, no.4, pp.1858 - 1871 | - |
dc.relation.isPartOf | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | - |
dc.citation.volume | 9 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 1858 | - |
dc.citation.endPage | 1871 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | non-Archimedean normed space | - |
dc.subject.keywordAuthor | fixed point | - |
dc.subject.keywordAuthor | quadratic rho-functional equation | - |
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