Abstract

AbstractRecently, Hyers–Ulam stability of the following additive-quadratic–cubic–quartic functional equation was proved in a Banach space in an earlier work. In this paper, we prove the generalized Hyers–Ulam stability of the above functional equation in random normed spaces.Key wordsFixed pointsRandom stabilityRandom normed spacesMathematics Subject Classification65Q2049K40

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