Fuzzy Systems

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


Affiliations
1 Department of Mathematics, Sacred Heart College, Tirupattur-635601, Tamil Nadu, India
2 Department of Mathematics, R.M.K. College of Engineering and Technology, R.S.M. Nagar, Puduvoyal-601206, Gummidipoondi Taluk, Tiruvallur Dist, Tamil Nadu, India
     

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

Abstract Views: 279  |  PDF Views: 1

Authors

K. Ravi
Department of Mathematics, Sacred Heart College, Tirupattur-635601, Tamil Nadu, India
R. Jamuna
Department of Mathematics, R.M.K. College of Engineering and Technology, R.S.M. Nagar, Puduvoyal-601206, Gummidipoondi Taluk, Tiruvallur Dist, Tamil Nadu, India

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.