APPROXIMATE QUADRATIC FUNCTIONAL EQUATION IN FELBIN’S TYPE NORMED LINEAR SPACES

Authors : Fridoun MORADLOU, Saber REZAEE, İldar SADEQİ

Pages : 501-516

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Publication Date : 2013-05-01

Article Type : Research Paper

Abstract :In this paper, we prove the generalized Hyers–Ulam–Rassias stability ofquadratic functional equation in Felbin’s type normed linear spaces byusing the direct and fixed point methods. The concept of Hyers-UlamRassias stability originated from Th. M. Rassias’ stability theorem thatappeared in his paper: On the stability of the linear mapping in Banachspaces, Proc. Amer. Math. Soc. 72 insert ignore into journalissuearticles values(1978);, 297–300.
Keywords : Analysis, fixed point, fuzzy numbers, fuzzy normed space, HyersUlamRassias stability