Approximation of the Quadratic and Cubic Functional Equations in RN-spaces

Authors

  • Madjid Eshaghi-Gordji
  • John M. Rassias
  • Meysam Bavand Savadkouhi

Keywords:

Stability, Quadratic functional equation, Cubic functional equation, Random normed space.

Abstract

We prove a stability result for the quadratic and cubic functional
equations in random normed (RN) spaces (in the sense of Sherstnev)
under arbitrary t-norms.

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Published

2009-10-09

Issue

Vol. 2 No. 4: (October 2009)

Section

Differential Equations

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Approximation of the Quadratic and Cubic Functional Equations in RN-spaces. (2009). European Journal of Pure and Applied Mathematics, 2(4), 494-507. https://ejpam.com/index.php/ejpam/article/view/440