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

Authors

C. Park Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea.

R. Saadati Department of Mathematics, Islamic Azad University-Aiatollah Amoli Branch, Amol, P.O. Box 678, Iran.}

S. Shakeri Department of Mathematics, Islamic Azad University-Aiatollah Amoli Branch, Amol, P.O. Box 678, Iran.}

Abstract:

In this paper, we prove the generalized Hyers-Ulam stability of the quadratic functionalequation$$f(x+y)+f(x-y)=2f(x)+2f(y)$$in non-Archimedean $mathcal{L}$-fuzzy normed spaces.

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Journal title

International Journal of Nonlinear Analysis and Applications

volume 1 issue 2

pages 72- 83

publication date 2010-06-01

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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

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