Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f(x+2y)+f(x-2y) = 2f(x+y)+2f(-x-y) +2 f(x-y) + 2f(y-x)-4f(-x)-2f(x)+f(2y)+f(-2y)- 4f(y) - 4f(-y) in complete random normed spaces.
Mohamadi M, Cho YJ, Park Ch, Vetro P, Saadati R (2010). Random Stability of an Additive-Quadratic-Quartic Functional Equation. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010, 1-18 [101155/2010/754210].
Random Stability of an Additive-Quadratic-Quartic Functional Equation
VETRO, Pasquale;
2010-01-01
Abstract
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f(x+2y)+f(x-2y) = 2f(x+y)+2f(-x-y) +2 f(x-y) + 2f(y-x)-4f(-x)-2f(x)+f(2y)+f(-2y)- 4f(y) - 4f(-y) in complete random normed spaces.
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