On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
© E. Baktash et al. 2008
Received: 27 August 2008
Accepted: 24 November 2008
Published: 10 December 2008
The Erratum to this article has been published in Journal of Inequalities and Applications 2009 2009:214530
Recently, the stability of the cubic functional equation in fuzzy normed spaces was proved in earlier work; and the stability of the additive functional equations in random normed spaces was proved as well. In this paper, we prove the stability of the cubic functional equation in random normed spaces by an alternative proof which provides a better estimation. Finally, we prove the stability of the quartic functional equation in random normed spaces.
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