Geodesic
Stability of an $l$-Variable Cubic Functional Equation
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 6, p. 851
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Using the direct and fixed point methods, we obtain the solution and prove the Hyers-Ulam stability of the $l$-variable cubic functional equation \begin{align*} (um_{i=1}^{l}x_i\right)+um_{j=1}^{l}feft(-lx_j+um_{i=1,ieq j}^{l}x_i\right) =-2(l+1)um_{i=1,ieq jeq k}^{l}f(x_i+x_j+x_k) +(3l^2-2l-5)um_{i=1,ieq j}^{l}f(x_i+x_j) -3(l^3-l^2-l+1)um_{i=1}^{l}f(x_i), \end{align*} $l\in {\mathbb{N}}$, $l\geq 3$, in random normed spaces.
Classification : 39B52, 47H10, 39B72, 39B82
Keywords: Cubic functional equation, fixed point, Hyers-Ulam stability, random normed space 
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     author = {Vediyappan Govindan and Sandra Pinelas and Jung Rye Lee and Choonkil Park},
     title = {Stability of an $l${-Variable} {Cubic} {Functional} {Equation}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {851 },
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     number = {6},
     language = {en},
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}
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Vediyappan Govindan; Sandra Pinelas; Jung Rye Lee; Choonkil Park. Stability of an $l$-Variable Cubic Functional Equation. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 6, p. 851 . http://geodesic.mathdoc.fr/item/KJM_2023_47_6_a2/