Stability of Cuachy functional equation in fuzzy normed linear spaces

Using the fixed point method, we prove the generalized Hyers--Ulam--Rassias stability of Cauchy functional equation n Felbin s type normed linear spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. f 72 (1978), 297--300.

Keywords:

fixed point , fuzzy real number , fuzzy normed space , Hyers--Ulam--Rassias stability

Authors

Fridoun Moradlou

Academic member, Department of Mathematics, Sahand University of Technology, Tabriz, Iran

Ildar Sadeqi

Academic member, Department of Mathematics, Sahand University of Technology, Tabriz, Iran,

Saber Rezaee

M. Sc., Department of Mathematics, Sahand University of Technology, Tabriz, Iran,

Certificate
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https://civilica.com/doc/730765

شناسه ملی سند علمی:

ICFUZZYS14_001

تاریخ نمایه سازی: 21 اردیبهشت 1397

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Moradlou, Fridoun and Sadeqi, Ildar and Rezaee, Saber,1394,Stability of Cuachy functional equation in fuzzy normed linear spaces,14th Iranian Conference on Fuzzy Systems,Tabriz,https://civilica.com/doc/730765

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Type of center: دانشگاه دولتی

Paper count: 4,931

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