Ulam stability is motivated by the following issue: how much an approximate solution of an
equation differs from the exact solutions to the equation. It is connected to some other areas …

In this article, a new class of real-valued Euler–Lagrange symmetry additive functional
equations is introduced. The solution of the equation is provided, assuming the unknown …

In this article, a new kind of bilateral symmetric additive type functional equation is
introduced. One of the interesting characteristics of the equation is the fact that it is ideal for …

Applications involving functional equations (FUEQs) are commonplace. They are essential
to various applications, such as fog computing. Ulam's notion of stability is highly helpful …

Using the direct method, we prove the Ulam stability results for the general linear functional
equation of the form∑ i= 1 m A i (f φ i (x¯))= D (x¯) for all x¯∈ X n, where f is the unknown …

A FIXED POINT THEOREM IN ULTRAMETRIC n-BANACH SPACES AND HYPERSTABILITY
RESULTS Page 1 Fixed Point Theory, 24(2023), No. 2, 433-458 DOI: 10.24193/fpt-ro.2023.2.01 …

Gähler (Untersuchungen über verallgemeinerte m-metrische Räume. I”. German. Math
Nachr 40, 165–189, 1969) investigated m-metric spaces and in particular m-normed spaces …

In this article, we employ a version of some fixed point theory (FPT) to obtain stability results
for the symmetric functional equation (FE) of q-Wright affine functions in non-Archimedean …

In this paper, we deduce some hyperstability results for a generalized class of
homogeneous Pexiderized functional equations, expressed as∑ ρ∈ Γ fx ρ. y= ℓ f (x)+ ℓ g …

In this article, with simple and short proofs without applying fixed point theorems, some
hyperstability results corresponding to the functional equations of Cauchy and Jensen are …