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On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces

An Erratum to this article was published on 05 May 2009

Abstract

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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Correspondence to Y. J. Cho.

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An erratum to this article is available at http://dx.doi.org/10.1155/2009/214530.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Baktash, E., Cho, Y.J., Jalili, M. et al. On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces. J Inequal Appl 2008, 902187 (2008). https://doi.org/10.1155/2008/902187

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  • DOI: https://doi.org/10.1155/2008/902187

Keywords

  • Normed Space
  • Quadratic Mapping
  • Full Article
  • Publisher Note
  • Random Normed Space