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

Journal of Inequalities and Applications volume 2008, Article number: 902187 (2008) Cite this article

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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Authors and Affiliations

  1. Youngs Researchers Club and Department of Basic Sciences, Islamic Azad University, Ayatollah Amoli Branch, P.O. Box 678, Amol, Iran

    E. Baktash

  2. Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju, 660-701, South Korea

    Y. J. Cho

  3. Department of Mechanical Engineering, Islamic Azad University, Ayatollah Amoli Branch, P.O. Box 678, Amol, Iran

    M. Jalili

  4. Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran, 15914, Iran

    R. Saadati & S. M. Vaezpour

  5. Faculty of Sciences, University of Shomal, P.O. Box 731, Amol, Iran

    R. Saadati

Authors
  1. E. Baktash
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  2. Y. J. Cho
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  3. M. Jalili
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  4. R. Saadati
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  5. S. M. Vaezpour
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Corresponding author

Correspondence to Y. J. Cho.

Additional information

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

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