Abstract
Abstract In this paper, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f ( x + 2 y ) + f ( x - 2 y ) = 4 f ( x + y ) + 4 f ( x - y ) - 6 f ( x ) (1) + f ( 2 y ) + f ( - 2 y ) - 4 f ( y ) - 4 f ( - y ) (2) (3) in random normed spaces. 2010 Mathematics Subject Classification: 46S40; 39B52; 54E70
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