Fuzzy Stability of Quadratic-cubic Functional Equations

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 met...

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Bibliographic Details
Published in:	Acta mathematica Sinica. English series Vol. 27; no. 11; pp. 2191 - 2204
Main Authors:	Wang, Zhi Hua, Zhang, Wan Xiong
Format:	Journal Article
Language:	English
Published:	Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.11.2011 Springer Nature B.V
Subjects:	Approximation Banach space Banach spaces Banach空间 Fuzzy Fuzzy logic Fuzzy set theory Mathematical analysis Mathematics Mathematics and Statistics Stability Studies 函数方程固定点模糊直接法稳定性 39B52 fixed point alternative method Hyers-Ulam-Rassias stability 26E50 Fuzzy normed space 46S50 46S40 quadratic-cubic functional equation 39B82
ISSN:	1439-8516, 1439-7617
Online Access:	Get full text
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