On the Stability of a General Mixed Additive-Cubic Functional Equation in Random Normed Spaces.

Authors :: Tian Zhou Xu
Rassias, John Michael
Wan Xin Xu
Source :: Journal of Inequalities & Applications. 2010, Vol. 2010, p1-16. 16p.
Publication Year :: 2010
Abstract: We prove the generalized Hyers-Ulam stability of the following additive-cubic equation f(kx + y) + f(kx - y) = kf(x + y) + kf(x - y) + 2f(kx) - 2kf(x) in the setting of random normed spaces. [ABSTRACT FROM AUTHOR]

Subjects :: *FUNCTIONAL equations
*RANDOM operators
*VECTOR spaces
*REAL numbers
*CUBIC equations

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