Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation: in fuzzy Banach spaces.

/pdf/random-stability-of-an-additive-quadratic-quartic-functional-3hi0ry3kpy.pdf

Random Stability of an Additive-Quadratic-Quartic Functional Equation

In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation $$f(2x+y)+f(2x-y)=4(f(x+y)+f(x-y))-{3/7}(f(2y)-2f(y))+2f(2x)-8f(x).$$

Stability of a functional equation deriving from quartic and additive functions

In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation f(2x + y) + f(2x - y) = 4(f(x + y) + f(x - y)) - (f(2y) - 2f(y)) + 2f(2x) - 8f(x).

/pdf/stability-of-a-functional-equation-deriving-from-quartic-and-25bpnqlp6b.pdf

We prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation: in complete latticetic random normed spaces.

/pdf/nonlinear-random-stability-of-an-acq-functional-equation-3rvkwxqr1y.pdf

Nonlinear -Random Stability of an ACQ Functional Equation

We will apply a fixed point method for proving the Hyers-Ulam stability of the functional equationf(x +y) = f(x)f(y) f(x)+f(y) .

/pdf/the-australian-journal-of-mathematical-analysis-and-3ja4vnapvl.pdf

The Australian Journal of Mathematical Analysis and Applications

In this paper, we consider the additive-cubic-quartic functional equation and prove the generalized Hyers-Ulam stability of the additive-cubic-quartic functional equation in Banach spaces.

https://link.springer.com/content/pdf/10.1155%2F2009%2F395693.pdf

Somayyeh Zolfaghari

Papers

Stability of an Additive-Cubic-Quartic Functional Equation