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

Authors

  • F. Moradlou Department of Mathematics, Sahand university of technology, Tabriz- Iran
  • I. Sadeqi Department of Mathematics, Sahand university of technology, Tabriz- Iran
  • M. Salehi Department of Mathematics, Sahand university of technology, Tabriz- Iran
Abstract:

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

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Journal title

volume 10  issue 3

pages  51- 63

publication date 2013-06-01

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