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Stability Results in Intuitionistic Fuzzy Normed Spaces for a Cubic Functional Equation |
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PP: 1677-1684 |
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Author(s) |
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M. Mursaleen,
Khursheed J. Ansari,
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Abstract |
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| In this paper, we determine some stability results concerning the cubic functional equation
kf(x + ky) + f(kx − y) =
k(k2 + 1)
2
[f(x + y) + f(x − y)] + (k
4
− 1)f(y),
where k 2 is a fixed integer, in the setting of intuitionistic fuzzy normed spaces (IFNS). Further we study the intuitionistic fuzzy
continuity through the existence of a certain solution of a fuzzy stability problem for approximately cubic functional equation. |
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