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.
SaadatiR. and ParkJ.H., On the intuitionistic fuzzy topological spaces, Chaos, Solitons and Fractals27 (2006), 331–344.
9.
SaadatiR., A note on some results on the IF-normed spacesaąś, Chaos, Solitons and Fractals41 (2009), 206–213.
10.
RamadanA.A., El-DarderyM., RamadanA.A. and KimY.C., L-Fuzzy topogenous orders and L-fuzzy topologies, Journal of Intelligent & Fuzzy Systems24(4) (2013), 685–691.
11.
UlamS.M., Problem in Modern Mathematics [M]. chapter6, John Wiey & Sons, New York, NY, USA, 1940.
12.
HyersD.H., On the stability of the linear functional equation [J], Proceedings of the American Mathematical Society72(2) (1941), 222–224.
13.
RassiasM.Th., On the stability of the linear mapping in Banach spaces [J], Proceedings of the American Mathematical Society72(2) (1978), 297–300.
14.
LeeJ.R., ShinD.Y. and ParkC., Hyers-Ulam stability of functional equations in matrix normed spaces [J], Journal of Inequalities and Applications2013 (2013), 22.
15.
WangZ. and SahooP.K., Stability of an ACQfunctional equation in various matrix normed spaces, J Nonlinear Sci Appl8(1) (2015), 64–85.
16.
JunK.W. and KimH.M., The generalized Hyers-Ulam-Rassias stability of a cubic functional equation, J Math Anal Appl274 (2002), 867–878.
17.
RassiasJ.M., Solution of the Ulam stability problem for quartic mappings[J], Glasnik Matematick34(2) (1999), 234–252.
18.
ParkC., Orthogonal stability of a cubic-quartic functional equation[J], Journal of Nonlinear Science and Applications5 (2012), 28–36.
19.
KimS.O., BodaghiA. and ParkC., Stability of functional inequalities associated with the Cauchy-Jensen additive functional equalities in non-Archimedean Banach spaces, J Nonlinear Sci Appl8(5) (2015), 776–786.
20.
BaeJ.-H. and ParkW.-G., On the Ulam stability of the Cauchy-Jensen equation and the additive-quadratic equation, J Nonlinear Sci Appl8(5) (2015), 710–718.
21.
LanY. and ShenY., The general solution of a quadratic functional equation and Ulam stability, J Nonlinear Sci Appl8(5) (2015), 640–649.
22.
MursaleenM. and MohiuddineS.A., On stability of a cubic functional equation in intuitionistic fuzzy normed spaces[J], Chaos, Solitons and Fractals42 (2009), 2997–3005.
23.
RaduV., The fixed point alternative and the stability of functional equations[J], Fixed Point Theory4(1) (2003), 91–96.