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Abstract
In this paper, we derive general solution of new n-dimensional quintic and sextic functional equations and investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability and generalized Hyers–Ulam–Rassias stability for quintic and sextic functional equations in Felbin type fuzzy normed linear spaces. Also, we give the counter examples for the Hyers–Ulam–Rassias stability of quintic and sextic functional equations for some cases.
Keywords: Generalized Hyers–Ulam–Rassias stability; quintic functional equation; sextic functional equation; Felbin's type fuzzy normed linear spaces
We extend our thanks to the editors and the referee for their valuable comments and good feedback from the reading of this paper.
Received: 2014-1-20
Accepted: 2015-1-13
Published Online: 2015-8-16
Published in Print: 2016-3-1
© 2016 by De Gruyter
