We will show that if $F$ is a set-valued mapping which satisfies $$ F(x) + F(y) \\\\\\\\\\\\\\\\subseteq 2F\\\\\\\\\\\\\\\\Big(\\\\\\\\\\\\\\\\frac{x+y}2\\\\\\\\\\\\\\\\Big)+ K $$ for some convex compact set $K$, then under some restrictions...

We use the fixed point alternative theorem to prove the stability of the set-valued functional equations.

We discuss on the generalized Ulam-Hyers stability for set-valued functional equations, including the nonlinear ...

We investigate the stability of orthogonally additive set-valued functional equation

F({x+y}) = F(x) + F(y) (x _|_ y)

in Hausdorff topology on closed convex subsets of a Banach space.