Stability Results for Some Classes of Cubic Functional Equations

Applications involving functional equations (FUEQs) are commonplace. They are essential
to various applications, such as fog computing. Ulam’s notion of stability is highly helpful since
it provides a range of estimates between exact and approximate solutions. Using Brzde¸k’s fixed
point technique (FPT), we establish the stability of the following cubic type functional equations
(CFUEQs): Fq3 ξ13 + ξ23 + Fq3 ξ13 − ξ23 = 2F(ξ1) + 2F(ξ2), 2Fq3 ξ13+2 ξ23  = F(ξ1) + F(ξ2) for
all ξ1, ξ2 ∈ R.