4.1 Article

n-dimensional quintic and sextic functional equations and their stabilities in Felbin type spaces

Journal

GEORGIAN MATHEMATICAL JOURNAL
Volume 23, Issue 1, Pages 121-137

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.1515/gmj-2015-0039

Keywords

Generalized Hyers-Ulam-Rassias stability; quintic functional equation; sextic functional equation; Felbin's type fuzzy normed linear spaces

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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.

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