In this paper, by the fixed point method, we prove the generalized stability of random homomorphisms of the following additive-quadratic functional equation f(2 + y) + f(2 − y) = 2[f(x + y) + f(x − y)] + 2[f(x) + f(−x)] − [f(y) + f(−y)], in random normed algebras.
In this paper, by the fixed point method, we prove the generalized stability of random homomorphisms of the following additive-quadratic functional equation f(2 + y) + f(2 − y) = 2[f(x + y) + f(x − y)] + 2[f(x) + f(−x)] − [f(y) + f(−y)], in random normed algebras.
In this paper, we consider random multi-normed spaces introduced by Dales and Polyakov (Multi-Normed Spaces, 2012). Next, by the fixed point method, we approximate the multiplicatives on these spaces.
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