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Stability of kℓ-Cubic Functional Equation in Non-Archimedean L-Fuzzy Normed Spaces

K. Ravi, R. Jamuna

Abstract


In this paper, we establish the generalized Hyers-Ulam stability result for the kℓ-cubic functional equation

(k-ℓ) f(kx+ℓy) + (k+ℓ) f(kx-ℓy) = 2k2ℓ2 f(x-y) + 2(k2-ℓ2) [k2 f(x) + ℓ2 f(y)]

where k and ℓ are non-zero integers with k ¹± ℓ, in the setting of non-Archimedean L-fuzzy normed spaces.


Keywords


Cubic Functional Equation, Generalized Hyers-Ulam Stability, Non-Archimedean L-Fuzzy Normed Spaces.

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