FUZZY STABILITY OF A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES

- Title
- FUZZY STABILITY OF A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES

- Author
- 박춘길

- Keywords
- fuzzy Banach space; fixed point; functional equation related to inner product space; Hyers-Ulam stability; quadratic mapping; additive mapping

- Issue Date
- 2011-10

- Publisher
- HACETTEPE UNIV, FAC SCI, HACETTEPE UNIV, FAC SCI, BEYTEPE, ANKARA 06800, TURKEY

- Citation
- HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 40(5), 711-723

- 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.

- URI
- http://www.ndsl.kr/ndsl/search/detail/article/articleSearchResultDetail.do?cn=JAKO201530848534176http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=SHGHCX_2015_v22n3_285

- ISSN
- 1303-5010

- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles

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