Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations

Consider Y as a real Hausdorff topological vector space and (G,+) as a  Abelian group  uniquely divisible by ۲. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*}    f(x+y)+f(x-y)+g(x+y)&=۲f(x)+f(y)+f(-y)+g(x)\\    & \quad +g(y), \\    f(x+y)+f(x-y)+g(x+y)&=۲f(x)+۲f(y)+g(x)+g(y),\end{align*}are investigated, where f and g are unknown functions  from G to cc(Y).

کلیدواژه ها:

Set-valued function ، Quadratic function ، Drygas function ، Hukuhara difference