Stability of additive-quadratic ρ-functional equations in Banach spaces: a fixed point approach
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Kim, Sang Og | - |
dc.contributor.author | Alaca, Cihangir | - |
dc.date.accessioned | 2022-07-14T12:31:57Z | - |
dc.date.available | 2022-07-14T12:31:57Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2017-03 | - |
dc.identifier.issn | 2008-1898 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/152736 | - |
dc.description.abstract | Let M(1)f (x, y) : = 3/4 f (x + y) -1/4 f (-x -y) + 1/4 f (x - y) + 1/4 f(y - x) -f (x) -f (y), M(2)f(x, y) : = 2f( x + y/2) + f ( x - y/2 ) + f ( y - x/2 ) -f (x) -f (y). We solve the additive-quadratic rho-functional equations M(1)f (x, y) = rho M(2)f(x, y), (1) and M(2)f(x, y) = rho M(1)f (x, y), (2) where rho is a fixed nonzero number with rho not equal 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive-quadratic rho-functional equations (1) and (2) in Banach spaces. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | INT SCIENTIFIC RESEARCH PUBLICATIONS | - |
dc.title | Stability of additive-quadratic ρ-functional equations in Banach spaces: a fixed point approach | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.22436/jnsa.010.03.34 | - |
dc.identifier.wosid | 000401106900034 | - |
dc.identifier.bibliographicCitation | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v.10, no.3, pp.1252 - 1262 | - |
dc.relation.isPartOf | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | - |
dc.citation.volume | 10 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 1252 | - |
dc.citation.endPage | 1262 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | additive-quadratic rho-functional equation | - |
dc.subject.keywordAuthor | fixed point method | - |
dc.subject.keywordAuthor | Banach space | - |
dc.identifier.url | https://www.isr-publications.com/jnsa/articles-3838-stability-of-additive-quadratic-rho-functional-equations-in-banach-spaces-a-fixed-point-approach | - |
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