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2014 Fuzzy Stability of the Generalized Version of Drygas Functional Equation
Chang Il Kim, Giljun Han, Seong-A Shim
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/514192

Abstract

We consider the functional equation f(ax+y)+f(ax-y)-a(a+1)f(x)-a(a-1)f(-x)-[f(y)+f(-y)] +k[f(x+y)+f(x-y)-2f(x)-f(y)-f(-y)]=0 for a fixed rational number a with a1,-1,0 and a fixed real number k. We study the solution of the equation between linear spaces and prove the generalized Hyers-Ulam stability for it when the target space is a fuzzy normed space.

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Chang Il Kim. Giljun Han. Seong-A Shim. "Fuzzy Stability of the Generalized Version of Drygas Functional Equation." J. Appl. Math. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/514192

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131653
MathSciNet: MR3206884
Digital Object Identifier: 10.1155/2014/514192

Rights: Copyright © 2014 Hindawi

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