Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces

Document Type : Research Paper

Authors
S. Shakeri 1
R. Saadati 1
C. Park 2
1 Department of Mathematics, Islamic Azad University-Aiatollah Amoli Branch, Amol, P.O. Box 678, Iran
2 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea
10.22075/ijnaa.2010.77
Abstract
In this paper, we prove the generalized Hyers-Ulam stability of the quadratic functional equation
$$f(x+y)+f(x-y)=2f(x)+2f(y)$$
in non-Archimedean $\mathcal{L}$-fuzzy normed spaces.
Keywords
$mathcal{L}$-fuzzy metric and normed spaces
intuitionistic fuzzy metric and normed spaces
generalized Hyers-Ulam stability
quadratic functional equation
non-Archimedean $mathcal{L}$-fuzzy normed space

  • Receive Date 18 April 2010
  • Revise Date 04 May 2010
  • Accept Date 31 May 2010

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