Approximation of involution in multi-banach algebras: Fixed point technique
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Movahednia, E. | - |
dc.contributor.author | Park, C. | - |
dc.contributor.author | Shin, D.Y. | - |
dc.date.accessioned | 2022-07-07T09:18:36Z | - |
dc.date.available | 2022-07-07T09:18:36Z | - |
dc.date.created | 2021-07-14 | - |
dc.date.issued | 2021 | - |
dc.identifier.issn | 2473-6988 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144072 | - |
dc.description.abstract | In this research work, we demonstrate the Hyers-Ulam stability for Cauchy-Jensen functional equation in multi-Banach algebras by the fixed point technique. In fact, we prove that for a function which is approximately Cauchy-Jensen in multi Banach algebra, there is a unique involution near it. Next, we show that under some conditions the involution is continuous, the multi-Banach algebra becomes multi-C*-algebra and the Banach algebra is self-adjoint. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | American Institute of Mathematical Sciences | - |
dc.title | Approximation of involution in multi-banach algebras: Fixed point technique | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, C. | - |
dc.identifier.doi | 10.3934/math.2021346 | - |
dc.identifier.scopusid | 2-s2.0-85103061431 | - |
dc.identifier.wosid | 000672862900020 | - |
dc.identifier.bibliographicCitation | AIMS Mathematics, v.6, no.6, pp.5851 - 5868 | - |
dc.relation.isPartOf | AIMS Mathematics | - |
dc.citation.title | AIMS Mathematics | - |
dc.citation.volume | 6 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 5851 | - |
dc.citation.endPage | 5868 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | QUADRATIC FUNCTIONAL-EQUATION | - |
dc.subject.keywordPlus | ULAM-RASSIAS STABILITY | - |
dc.subject.keywordAuthor | multi-Banach algebra | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | functional equation | - |
dc.subject.keywordAuthor | fixed point technique | - |
dc.subject.keywordAuthor | C∗-algebra | - |
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