Park, Choonkil; Shin, Dong Yun; Saadati, Reza; Lee, Jung Rye A fixed point approach to the fuzzy stability of an aqcq-functional equation. (English) Zbl 1465.47058 Filomat 30, No. 7, 1833-1851 (2016). Summary: In [A. K. Mirmostafaee et al., Fuzzy Sets Syst. 159, No. 6, 730–738 (2008; Zbl 1179.46060); A. K. Mirmostafaee and M. S. Moslehian, Fuzzy Sets Syst. 159, No. 6, 720–729 (2008; Zbl 1178.46075)], the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated.Using the fixed point method, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation \[f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y)-6f(x)+f(2y)+f(-2y)-4f(y)-4f(-y)\] in fuzzy Banach spaces. Cited in 6 Documents MSC: 47S40 Fuzzy operator theory 47H10 Fixed-point theorems 39B52 Functional equations for functions with more general domains and/or ranges 54E40 Special maps on metric spaces 46S40 Fuzzy functional analysis Keywords:fuzzy Banach space; fuzzy random variable; fixed point; Hyers-Ulam stability; additive-quadratic-cubic-quartic functional equation Citations:Zbl 1179.46060; Zbl 1178.46075 PDFBibTeX XMLCite \textit{C. Park} et al., Filomat 30, No. 7, 1833--1851 (2016; Zbl 1465.47058) Full Text: DOI