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.
ABSTRACT. In this paper, using the direct and fixed point methods, we have established the generalized Hyers-Ulam stability of the following additive-quadratic
functional equation
in non-Archimedean and intuitionistic random normed spaces.
AMS 2010 Subject Classification: 39B82, 39B52, 46S40.
Keywords. generalized Hyers-Ulam stability; additive mapping; quadratic mapping;
non-Archimedean random normed spaces; intuitionistic random normed spaces; fixed point.
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