CUBIC AND QUARTIC ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhiang, Jooho | - |
dc.contributor.author | Chu, Jeonghun | - |
dc.contributor.author | Anastassiou, George A. | - |
dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-07-14T12:32:59Z | - |
dc.date.available | 2022-07-14T12:32:59Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2017-03 | - |
dc.identifier.issn | 1521-1398 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/152746 | - |
dc.description.abstract | In this paper, we solve the following cubic rho-functional inequality N (f(2x + y) + f(2x - y) - 2f(x + y) - 2f(x - y) - 12f(x),t) (0.1) >= N (rho(4f(x + y/2) + 4f(x - y/2) - f(x + y) - f(x - y) - 6f(x)), t) in fuzzy normed spaces, where rho is a fixed real number with vertical bar rho vertical bar < 2, and the following quartic rho-functional inequality N (f(2x + y) + f(2x - y) - 4f(x + y) - 4f(x - y) - 24f(x) + 6f(y) ,t) (0.2) >= N (rho(8f(x + y/2) + 8f(x - y/2) - 2f(x + y) - 2f(x - y) - 12f(x) + 3f(y)), t) in fuzzy normed spaces, where rho is. a fixed real number with vertical bar rho vertical bar < 2. Using the fixed point method, we prove the Hyers-Ulam stability of the cubic rho-functional inequality (0.1) and the quartic rho-functional inequality (0.2) in fuzzy Banach spaces. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | EUDOXUS PRESS, LLC | - |
dc.title | CUBIC AND QUARTIC ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.scopusid | 2-s2.0-85014620936 | - |
dc.identifier.wosid | 000392906100008 | - |
dc.identifier.bibliographicCitation | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.22, no.3, pp.484 - 495 | - |
dc.relation.isPartOf | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 22 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 484 | - |
dc.citation.endPage | 495 | - |
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 | Computer Science | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Theory & Methods | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | ULAM-RASSIAS STABILITY | - |
dc.subject.keywordPlus | ASTERISK-HOMOMORPHISMS | - |
dc.subject.keywordPlus | SUPERSTABILITY | - |
dc.subject.keywordPlus | DERIVATIONS | - |
dc.subject.keywordPlus | EQUATION | - |
dc.subject.keywordAuthor | fuzzy Banach space | - |
dc.subject.keywordAuthor | cubic rho-functional inequality | - |
dc.subject.keywordAuthor | quartic rho-functional inequality | - |
dc.subject.keywordAuthor | fixed point method | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.identifier.url | http://www.eudoxuspress.com/images/JOCAAA-VOL-22-2017-ISSUE-III.pdf | - |
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