Stability of an l-Variable Cubic Functional Equation
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Authors: V. GOVINDAN, S. PINELAS, J. R. LEE AND C. PARK
DOI: 10.46793/KgJMat2306.851G
Abstract:
Using the direct and fixed point methods, we obtain the solution and prove the Hyers-Ulam stability of the l-variable cubic functional equation
f + ∑
j=1lf | |||
| = | − 2(l + 1) ∑ i=1,i≠j≠klf(x i + xj + xk) + (3l2 − 2l − 5) ∑ i=1,i≠jlf(x i + xj) | ||
| − 3(l3 − l2 − l + 1) ∑ i=1lf(x i), |
l ∈ ℕ, l ≥ 3, in random normed spaces.
Keywords:
Cubic functional equation, fixed point, Hyers-Ulam stability, random normed space.
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