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On the stability of a $$k$$-cubic functional equation in intuitionistic fuzzy $$n$$-normed spaces. (English) Zbl 1360.39022
Let $$k$$ be any real number. The functional equation $f(kx+y)+f(kx-y) = kf(x+y)+kf(x-y) + 2k(k^2 - 1) f(x)$ for all $$x, y \in \mathbb{R}$$ is called the $$k$$-cubic functional equation. It is known that $$f(x) = x^3$$ satisfies this equation. The authors prove some stability results concerning this functional equation in intuitionistic fuzzy $$n$$-normed spaces.

##### MSC:
 39B82 Stability, separation, extension, and related topics for functional equations 46S40 Fuzzy functional analysis
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