QUADRATIC rho-FUNCTIONAL INEQUALITIES IN BANACH SPACES: A FIXED POINT APPROACH
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Seo, Jeong Pil | - |
dc.date.accessioned | 2022-07-07T05:39:24Z | - |
dc.date.available | 2022-07-07T05:39:24Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2015-06 | - |
dc.identifier.issn | 1976-8605 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143471 | - |
dc.description.abstract | In this paper, we solve the following quadratic rho-functional inequalities parallel to f (x+y+z/2) + f (x-y-z/2) + f(y-x-z/2) + f (z-x-y/2) - f (x) - f (y) - f (z) parallel to (0.1) <= parallel to rho(f (x+y+x) + f (x-y-z) + f (y-x-z) +f (z-x-y) - 4f (x) - 4f (y) - 4f(z)) parallel to, where rho is a fi xed complex number with |rho| < 1/8, and parallel to rho(f (x+y+x) + f (x-y-z) + f (y-x-z) +f (z-x-y) - 4f (x) - 4f (y) - 4f(z)) parallel to (0.2) <= parallel to f (x+y+z/2) + f (x-y-z/2) + f(y-x-z/2) + f (z-x-y/2) - f (x) - f (y) - f (z) parallel to, where rho is a fixed complex number with |rho| < 4. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic rho-functional inequalities (0.1) and (0.2) in complex Banach spaces. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | KANGWON-KYUNGKI MATHEMATICAL SOC | - |
dc.title | QUADRATIC rho-FUNCTIONAL INEQUALITIES IN BANACH SPACES: A FIXED POINT APPROACH | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.11568/kjm.2015.23.2.231 | - |
dc.identifier.bibliographicCitation | KOREAN JOURNAL OF MATHEMATICS, v.23, no.2, pp.231 - 248 | - |
dc.relation.isPartOf | KOREAN JOURNAL OF MATHEMATICS | - |
dc.citation.title | KOREAN JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 23 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 231 | - |
dc.citation.endPage | 248 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART002002071 | - |
dc.description.journalClass | 2 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | quadratic $ | - |
dc.subject.keywordAuthor | rho$-functional equation | - |
dc.subject.keywordAuthor | fixed point | - |
dc.subject.keywordAuthor | complex Banach space | - |
dc.identifier.url | http://koreascience.or.kr/article/JAKO201520448049032.page | - |
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