University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130601ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACESON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES516386210.22111/ijfs.2013.862ENI.SadeqiDepartment of Mathematics, Sahand university of technology, Tabriz-
IranF.MoradlouDepartment of Mathematics, Sahand university of technology, Tabriz-
IranM.SalehiDepartment of Mathematics, Sahand university of technology, Tabriz-
IranJournal Article20110515n this paper we study the Hyers-Ulam-Rassias stability of Cauchy<br />equation in Felbin's type fuzzy normed linear spaces. As a result<br />we give an example of a fuzzy normed linear space such that the<br />fuzzy version of the stability problem remains true, while it fails<br />to be correct in classical analysis. This shows how the category of<br />fuzzy normed linear spaces differs from the classical normed linear<br />spaces in general.https://ijfs.usb.ac.ir/article_862_96b9bdd60ae0f69019dd773c9ce92817.pdf