Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2018-02-12T07:35:51Z | - |
dc.date.available | 2018-02-12T07:35:51Z | - |
dc.date.issued | 2011-10 | - |
dc.identifier.citation | HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 40(5), 711-723 | en_US |
dc.identifier.issn | 1303-5010 | - |
dc.identifier.uri | http://www.ndsl.kr/ndsl/search/detail/article/articleSearchResultDetail.do?cn=JAKO201530848534176 | - |
dc.identifier.uri | http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=SHGHCX_2015_v22n3_285 | - |
dc.description.abstract | The fuzzy stability problems for the Cauchy quadratic functional equation and the Jensen quadratic functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. Th. M. Rassias introduced the following equality Sigma(m)(i,j=1) parallel to xi - xj parallel to(2) = 2m Sigma(m)(i=1) parallel to x(i)parallel to(2), Sigma(m)(i=1) x(i) = 0, for a fixed integer m >= 3. By the above equality, we define the following functional equation (0.1) Sigma(m)(i,j=1) f(x(i) - x(j)) = 2m Sigma(m)(i=1) f(x(i)), Sigma(m)(i=1) x(i) = 0 In this paper, we prove the generalized Hyers-Ulam stability of the functional equation (0.1) in fuzzy Banach spaces. | en_US |
dc.language.iso | en | en_US |
dc.publisher | HACETTEPE UNIV, FAC SCI, HACETTEPE UNIV, FAC SCI, BEYTEPE, ANKARA 06800, TURKEY | en_US |
dc.subject | fuzzy Banach space | en_US |
dc.subject | fixed point | en_US |
dc.subject | functional equation related to inner product space | en_US |
dc.subject | Hyers-Ulam stability | en_US |
dc.subject | quadratic mapping | en_US |
dc.subject | additive mapping | en_US |
dc.title | FUZZY STABILITY OF A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES | en_US |
dc.type | Article | en_US |
dc.relation.no | 5 | - |
dc.relation.volume | 40 | - |
dc.identifier.doi | 10.7468/jksmeb.2015.22.3.285 | - |
dc.relation.page | 711-723 | - |
dc.relation.journal | HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | - |
dc.contributor.googleauthor | Jang, Sun Young | - |
dc.contributor.googleauthor | Park, Choonkil | - |
dc.relation.code | 2011218180 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | baak | - |
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