Non-Archimedean L-fuzzy normed spaces and stability of functional equations

Authors:
Reza Saadati;Choonkil Park
Affiliations:
Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran and Faculty of Sciences, University of Shomal, Amol P.O. Box 731, Iran;Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

Lee et al. considered the following quadratic functional equation f(lx+y)+f(lx-y)=2l^2f(x)+2f(y) and proved the Hyers-Ulam-Rassias stability of the above functional equation in classical Banach spaces. In this paper, we prove the Hyers-Ulam-Rassias stability of the above quadratic functional equation in non-Archimedean L-fuzzy normed spaces.