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Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces
Journal article   Open access  Peer reviewed

Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces

S. A. Mohiuddine and Mohammed A. Alghamdi
Advances in difference equations, Vol.2012(1), pp.1-16
08/08/2012
DOI: https://doi.org/10.1186/1687-1847-2012-141

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we determine the stability of a generalized Hyers-Ulam-Rassias-type theorem concerning the additive functional equation 2f (x+y+z/2) = f (x) + f(y) + f(z) in the framework of intuitionistic fuzzy normed spaces through the fixed-point alternative. Further, we prove some stability results of an additive functional equation in this setup through the direct method.
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https://doi.org/10.1186/1687-1847-2012-141View
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