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Fuzzy stability of quadratic-cubic functional equations

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Abstract

In this paper, the direct method and the fixed point alternative method are implemented to give Hyers-Ulam-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.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, P. R. China

    Zhi Hua Wang

  2. School of Science, Hubei University of Technology, Wuhan, 430068, P. R. China

    Zhi Hua Wang

  3. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P. R. China

    Wan Xiong Zhang

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  1. Zhi Hua Wang
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  2. Wan Xiong Zhang
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Correspondence to Wan Xiong Zhang.

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Supported by the Fundamental Research Funds for the Central Universities (Project No. CDJZR10 10 00 08)

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Wang, Z.H., Zhang, W.X. Fuzzy stability of quadratic-cubic functional equations. Acta. Math. Sin.-English Ser. 27, 2191–2204 (2011). https://doi.org/10.1007/s10114-011-9250-4

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  • DOI: https://doi.org/10.1007/s10114-011-9250-4

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