A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation
نویسندگان
چکیده
Katsaras 1 defined a fuzzy norm on a vector space to construct a fuzzy vector topological structure on the space. Some mathematicians have defined fuzzy norms on a vector space from various points of view 2–4 . In particular, Bag and Samanta 5 , following Cheng and Mordeson 6 , gave an idea of fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michálek type 7 . They established a decomposition theorem of a fuzzy norm into a family of crisp norms and investigated some properties of fuzzy normed spaces 8 . We use the definition of fuzzy normed spaces given in 5, 9, 10 to investigate a fuzzy version of the generalized Hyers-Ulam stability for the functional equation
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