In this paper, we study the general solution of the functional equation, which is derived from additive–quartic mappings. In addition, we establish the generalized Hyers–Ulam stability of the additive–quartic functional equation in Banach spaces by using direct and fixed point methods
In this paper, we solve the additive (alpha, beta)-functional equationf(x) + f(y) + 2f(z) = alpha f(...
Using the fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive-quartic...
We investigate the generalized Hyers-Ulam stability of the following functional equation ∑=1()=1/2[∑...
In this paper, the authors investigate the general solution and generalized Hyers–Ulam stability of ...
In this paper, we consider the additive-cubic-quartic functional equation 11[f(x + 2y) + f (x - 2y)]...
Using the fixed point method and direct method, we prove the Hyers-Ulam stability of an additive-qua...
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additi...
Using the fixed point method, we prove the generalized Hyers-Ulam stability of a cubic and quartic f...
In this present work, we obtain the solution of the generalized additive functional equation and als...
We obtain the general solution of the generalized quartic functional equation f(x+my)+f(x-my)=2(7m-9...
Using fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-qu...
Using the fixed point method, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quart...
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additiv...
In this paper, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cub...
Using the fixed point method, we prove the Hyers-Ulam stability of a cubic and quartic functional eq...
In this paper, we solve the additive (alpha, beta)-functional equationf(x) + f(y) + 2f(z) = alpha f(...
Using the fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive-quartic...
We investigate the generalized Hyers-Ulam stability of the following functional equation ∑=1()=1/2[∑...
In this paper, the authors investigate the general solution and generalized Hyers–Ulam stability of ...
In this paper, we consider the additive-cubic-quartic functional equation 11[f(x + 2y) + f (x - 2y)]...
Using the fixed point method and direct method, we prove the Hyers-Ulam stability of an additive-qua...
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additi...
Using the fixed point method, we prove the generalized Hyers-Ulam stability of a cubic and quartic f...
In this present work, we obtain the solution of the generalized additive functional equation and als...
We obtain the general solution of the generalized quartic functional equation f(x+my)+f(x-my)=2(7m-9...
Using fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-qu...
Using the fixed point method, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quart...
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additiv...
In this paper, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cub...
Using the fixed point method, we prove the Hyers-Ulam stability of a cubic and quartic functional eq...
In this paper, we solve the additive (alpha, beta)-functional equationf(x) + f(y) + 2f(z) = alpha f(...
Using the fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive-quartic...
We investigate the generalized Hyers-Ulam stability of the following functional equation ∑=1()=1/2[∑...