Fuzzy Stability of Quadratic-cubic Functional Equations

作     者：Zhi Hua WANG Wan Xiong ZHANG 

作者机构：Department of Mathematics Sichuan University Chengdu 610064 P. R. China School of Science Hubei University of Technology Wuhan 430068 P. R. China College of Mathematics and Statistics Chongqing University Chongqing 401331 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2011年第27卷第11期

页      面：2191-2204页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 0835[工学-软件工程] 0802[工学-机械工程] 0701[理学-数学] 080201[工学-机械制造及其自动化] 

基　　金：Fundamental Research Funds for the Central Universities 

主　　题：Fuzzy normed space quadratic-cubic functional equation fixed point alternative method Hyers-Ulam-Rassias stability 

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.