The Ulam stability of matrix intuitionistic fuzzy normed spaces

Article type: Research Article

Authors: Song, AiMin^*

Affiliations: Department of Mathematics, Gansu Normal College for Nationalities, Gannan, P.R. China

Correspondence: [*] Corresponding author. AiMin Song, Department of Mathematics, Gansu Normal College for Nationalities, Gannan 747000, P.R. China. Tel.: +86 18 894 560 041; E-mail: songaimin@yahoo.com.

Abstract: In this paper, we defined the matrix intuitionistic fuzzy normed spaces, and proved the Ulam stability of functional equation deriving from quartic and cubic functionsf (2x + y) + f (2x - y) =3f (x + y) + f (- x - y) +3f (x - y) + f (y - x) +18f (x) +6f (- x) -3f (y) -3f (- y) by fixed point alternative method.

Keywords: Matrix intuitionistic fuzzy normed spaces, functional equation deriving from quartic and cubic functions, Ulam stability, fixed point alternative method

DOI: 10.3233/JIFS-152540

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 629-641, 2017