Hyperstability for a Generalized Class of Pexiderized Functional Equations on Monoids via Páles’ Approach
Hyperstability for a Generalized Class of Pexiderized Functional Equations on Monoids via Páles’ Approach
In this paper, we deduce some hyperstability results for a generalized class of homogeneous Pexiderized functional equations, expressed as ∑ρ∈Γfxρ.y=ℓf(x)+ℓg(y), x,y∈M, which is inspired by the concept of Ulam stability. Indeed, we prove that function f that approximately satisfies an equation can, under certain conditions, be considered an exact solution. …