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

Author(s):

Elham Mohammadi , Abbas Najati * , Iz-Iddine EL-Fassi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a  Abelian group  uniquely divisible by 2. 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)&=2f(x)+f(y)+f(-y)+g(x)\\    & \quad +g(y), \\    f(x+y)+f(x-y)+g(x+y)&=2f(x)+2f(y)+g(x)+g(y),\end{align*}are investigated, where $f$ and $g$ are unknown functions  from $G$ to $cc(Y)$.
Keywords:

Set-Valued Function , Quadratic Function , Drygas Function , Hukuhara Difference

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:22 Issue: 1, Winter 2025
Pages:
163 to 173
https://www.magiran.com/p2805538