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Jamuna, R.
- Stability of kℓ-Cubic Functional Equation in Non-Archimedean L-Fuzzy Normed Spaces
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Authors
Affiliations
1 Department of Mathematics, Sacred Heart College, Tirupattur-635601, Tamil Nadu, IN
2 Department of Mathematics, R.M.K. College of Engineering and Technology, R.S.M. Nagar, Puduvoyal-601206, Gummidipoondi Taluk, Tiruvallur Dist, Tamil Nadu, IN
1 Department of Mathematics, Sacred Heart College, Tirupattur-635601, Tamil Nadu, IN
2 Department of Mathematics, R.M.K. College of Engineering and Technology, R.S.M. Nagar, Puduvoyal-601206, Gummidipoondi Taluk, Tiruvallur Dist, Tamil Nadu, IN
Source
Fuzzy Systems, Vol 7, No 6 (2015), Pagination: 161-165Abstract
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.