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Fuzzy Stability of Quadratic-cubic Functional Equations 被引量:4

Fuzzy Stability of Quadratic-cubic Functional Equations
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摘要 In this paper, the direct method and the fixed point alternative method are implemented to give Hyers-Uiam-Rassias stability of the functional equation 6f(x+y)-6f(x-y)+4f(3y)=3f(x+2y)-3f(x-2y)+9f(2y) in fuzzy Banach spaces. We can find the range of approximate solutions obtained using the direct method are less than those obtained by using the fixed point alternative method for the above and the functional equation. In this paper, the direct method and the fixed point alternative method are implemented to give Hyers-Uiam-Rassias stability of the functional equation 6f(x+y)-6f(x-y)+4f(3y)=3f(x+2y)-3f(x-2y)+9f(2y) in fuzzy Banach spaces. We can find the range of approximate solutions obtained using the direct method are less than those obtained by using the fixed point alternative method for the above and the functional equation.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第11期2191-2204,共14页 数学学报(英文版)
关键词 Fuzzy normed space quadratic-cubic functional equation fixed point alternative method Hyers-Ulam-Rassias stability Fuzzy normed space, quadratic-cubic functional equation, fixed point alternative method, Hyers-Ulam-Rassias stability
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