In this paper, we prove some stability results concerning the generalized quadratic and quartic type functional equation in the context of nonArchimedean fuzzy normed spaces in the spirit of Hyers-Ulam-Rassias. As applications, we establish some results of approximately generalized quadratic and quartic type mapping in non-Archimedean normed spaces. Also, we show that the assumption of the non-...

Wewill define a notion for a quasi fuzzy p-normed space, then we use the fixed point alternative theorem to establish Hyers–Ulam– Rassias stability of the quartic functional equation where functions map a linear space into a complete quasi fuzzy p-normed space. Later, we will show that there exists a close relationship between the fuzzy continuity behavior of a fuzzy almost quartic function, co...

In this paper, we present the HyersUlamRassias stability of quartic functional equation f(2x + y) + f(2x – y) = 4.f(x + y) + 4f(x – y) + 24f(x) ( 6f(y) in Random 2Normed space . References 1. A. Alotaibi, S.A. Mohiuddine; On the stability of a cubic functional equation in random 2-normed spaces, Advances in Difference Equations, 1,39 (2012) pp. 1-10. 2. D.H. Hyers; On the stability of the linea...