Open Access

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

  • E. Baktash1,
  • Y. J. Cho2Email author,
  • M. Jalili3,
  • R. Saadati4, 5 and
  • S. M. Vaezpour4
Journal of Inequalities and Applications20082008:902187

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

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

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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Notes

Authors’ Affiliations

(1)
Youngs Researchers Club and Department of Basic Sciences, Islamic Azad University
(2)
Department of Mathematics Education and the RINS, Gyeongsang National University
(3)
Department of Mechanical Engineering, Islamic Azad University
(4)
Department of Mathematics and Computer Science, Amirkabir University of Technology
(5)
Faculty of Sciences, University of Shomal

Copyright

© E. Baktash et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.