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Fuzzy stability of a cubic-quadratic functional equation: a fixed point approach

Authors
박춘길이상훈이상협
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
Indexed
KCI
OTHER
Journal Title
한국수학논문집
Volume
17
Number
3
Start Page
315
End Page
330
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/176202
ISSN
1976-8605
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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