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 …

The Ulam stability of various equations (eg, differential, difference, integral, and functional)
concerns the following issue: how much does an approximate solution of an equation differ …

In this paper, we introduce $ n $-variables mappings which are cubic in each variable. We
show that such mappings satisfy a functional equation. The main purpose is to extend the …

The theory of Ulam stability was initiated by a problem raised in 1940 by S. Ulam and
concerning approximate solutions to the equation of homomorphism in groups. It is …

In this paper, we unify the system of functional equations defining a multi-Jensen-quadratic
mapping to a single equation. Using a fixed point theorem, we study the generalized Hyers …

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 …

Approximate solutions of a quadratic functional equation in 2-Banach spaces using fixed
point theorem | SpringerLink Skip to main content Advertisement SpringerLink Account …

We first introduce basic concepts of (2, β)(2, β)-Banach spaces and we will reformulate the
fixed point theorem 8, Theorem 1 in this space. After that, we achieve the general solution of …

In this paper, the authors introduce two new classes of series type additive functional
Equations (FEs). The first class of equations is derived from the sum of the squares of the …