Sadeqi, I., Moradlou, F., Salehi, M. (2013). ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES. Iranian Journal of Fuzzy Systems, 10(3), 51-63. doi: 10.22111/ijfs.2013.862

I. Sadeqi; F. Moradlou; M. Salehi. "ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES". Iranian Journal of Fuzzy Systems, 10, 3, 2013, 51-63. doi: 10.22111/ijfs.2013.862

Sadeqi, I., Moradlou, F., Salehi, M. (2013). 'ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES', Iranian Journal of Fuzzy Systems, 10(3), pp. 51-63. doi: 10.22111/ijfs.2013.862

Sadeqi, I., Moradlou, F., Salehi, M. ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES. Iranian Journal of Fuzzy Systems, 2013; 10(3): 51-63. doi: 10.22111/ijfs.2013.862

ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES

^{}Department of Mathematics, Sahand university of technology, Tabriz- Iran

Abstract

n this paper we study the Hyers-Ulam-Rassias stability of Cauchy equation in Felbin's type fuzzy normed linear spaces. As a result we give an example of a fuzzy normed linear space such that the fuzzy version of the stability problem remains true, while it fails to be correct in classical analysis. This shows how the category of fuzzy normed linear spaces differs from the classical normed linear spaces in general.

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