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Fuzzy stability of a cubic-quadratic functional equation: a fixed point approach
- Issue Date
- Sep-2009
- Publisher
- 강원경기수학회
- Keywords
- fuzzy Banach space; fixed point; generalized Hyers-Ulam stability; quadratic mapping; cubic mapping
- Citation
- 한국수학논문집, v.17, no.3, pp 315 - 330
- Pages
- 16
- Indexed
- KCICANDI
- Journal Title
- 한국수학논문집
- Volume
- 17
- Number
- 3
- Start Page
- 315
- End Page
- 330
- ISSN
- 1976-8605
2288-1433
- Abstract
- Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following cubic-quadratic functional equation (0.1) 1/2 (f(2x+y) + f(2x-y) - f(-2x-y) - f(y-2x)) = 2f(x+y) + 2 f(x-y) + 4 f(x) - 8f(-x) - 2f(y) - 2f(-y) in fuzzy Banach spaces.
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