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.
Mursaleen, M. and J. Ansari, Khursheed
"Stability Results in Intuitionistic Fuzzy Normed Spaces for a Cubic Functional Equation,"
Applied Mathematics & Information Sciences: Vol. 07
, Article 4.
Available at: https://dc.naturalspublishing.com/amis/vol07/iss5/4