Random stability of a functional equation associated with inner product: A fixed point approach
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Lee, Jung Rye | - |
dc.contributor.author | Shin, Dong Yun | - |
dc.date.accessioned | 2022-07-16T17:00:07Z | - |
dc.date.available | 2022-07-16T17:00:07Z | - |
dc.date.created | 2021-05-13 | - |
dc.date.issued | 2012-01 | - |
dc.identifier.issn | 1201-3390 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/166471 | - |
dc.description.abstract | Th.M. Rassias [Bull. Sci. Math. 108 (1984), 95{99] proved that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed positive integer l2l12l∑ 2li= 1xi2+∑2li=1xi ? 12l∑2lj=1xj2=∑ 2li=1?xi? 2holds for all x1; ; x2l ? V. For the above equality, we can define the following functionalequation 2lf(12l∑2li=1xi)+∑2li=1fxi ? 12l∑2lj=1xj =∑2li=1f(xi); (1) whose solution is realized as the sum of an additive mapping and a quadratic mapping. Using fixed point method, we prove the Hyers-Ulam stability of the functional equation (1) in random Banach spaces. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | Watam Press | - |
dc.title | Random stability of a functional equation associated with inner product: A fixed point approach | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.scopusid | 2-s2.0-84863153003 | - |
dc.identifier.bibliographicCitation | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, v.19, no.1, pp.65 - 79 | - |
dc.relation.isPartOf | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis | - |
dc.citation.title | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis | - |
dc.citation.volume | 19 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 65 | - |
dc.citation.endPage | 79 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Additive mapping | - |
dc.subject.keywordAuthor | Fixed point | - |
dc.subject.keywordAuthor | Functional equation related to inner product space | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | Quadratic mapping | - |
dc.subject.keywordAuthor | Random Banach space | - |
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