Geodesic
Solution and Stability of a Cubic Type Functional Equation: Using Direct and Fixed Point Methods
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 1, p. 7 .

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In this concept, we investigate the generalized Ulam-Hyers-Rassias stability for the new type of cubic functional equation of the form \begin{align*} eft( ax_1 + bx_2 + 2 cx_3 \right) + g eft( ax_1 + bx_2 - 2 cx_3 \right) + 8 a^3 g(x_1) + 8 b^3 g(x_2) = 2 g(ax_1 + bx_2) + 4 eft( g(ax_1 + cx_3) + g(ax_1 - cx_3) + g(bx_2 + cx_3) + g(bx_2 - cx_3) \right) \end{align*} by using direct and fixed point alternative.
Classification : 39B52 32B72, 32B82
Keywords: cubic functional equation, generalized Hyers-Ulam stability, fixed point 
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     author = {V. Govindan and S. Murthy and M. Saravanan},
     title = {Solution and {Stability} of a {Cubic} {Type} {Functional} {Equation:} {Using} {Direct} and {Fixed} {Point} {Methods}},
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V. Govindan; S. Murthy; M. Saravanan. Solution and Stability of a Cubic Type Functional Equation: Using Direct and Fixed Point Methods. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 1, p. 7 . http://geodesic.mathdoc.fr/item/KJM_2020_44_1_a0/