On the hyperstability of the generalized class of Drygas functional equations on semigroups
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DOI: 10.1007/s00010-020-00775-6
Abstract: The aim of this paper is to offer some hyperstability results for the following functional equation $$\begin{aligned} \sum _{\lambda \in \Lambda }f(x\lambda .y)=Lf(x)+\sum _{\lambda \in \Lambda }f(\lambda .y)\;\;\;\; (x,y\in S), \end{aligned}$$ where S is a… read more here.
Keywords: hyperstability generalized; generalized class; lambda lambda; sum lambda ... See more keywords
Hyperstability for a Generalized Class of Pexiderized Functional Equations on Monoids via Páles’ Approach
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DOI: 10.3390/math12060838
Abstract: 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… read more here.
Keywords: pexiderized functional; generalized class; hyperstability; functional equations ... See more keywords