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This paper considers the Jensen type cubic fuzzy set-valued functional equation and the n-dimensional cubic fuzzy set-valued functional equation. We establish the Hyers-Ulam stability of these two types of cubic fuzzy set-valued functional equations by using the fixed point method. Our results can be regarded as two extensions of stability results corresponding to single-valued functional equations and set-valued functional equations, respectively.Mathematics Subject Classification. 47H10, 54C60, 39B82.

We prove the Hyers-Ulam stability of the additive-cubic-quartic functional equation in multi-Banach spaces by using the fixed point alternative method. The first results on the stability in the multi-Banach spaces were presented in (Dales and Moslehian 2007).