Hyperstability and Superstability - Brzdęk - 2013 - Abstract and Applied Analysis - Wiley Online
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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 …

The aim of this research is first to introduce and solve a certain class of generalized multi-
Drygas equations. Under suitable assumptions, we prove an interesting result concerning …

On an equation characterizing multi-additive-quadratic mappings and its Hyers–Ulam stability -
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In this paper, we give two characterizations of multi-Cauchy-Jensen mappings. One of them
reduces the system of n equations defining these mappings to a single functional equation …

In this paper, we study n-variable mappings that are quartic in each variable. We show that
the conditions defining such mappings can be unified in a single functional equation …

Recently, functions of several variables satisfying, with respect to each variable, some
functional equation (among them Cauchy's, Jensen's, quadratic and other ones) have been …

In this paper we prove, using the fixed point method, the generalized Hyers–Ulam stability of
two functional equations in complete non-Archimedean normed spaces. One of these …

Approximate Multi‐Jensen, Multi‐Euler‐Lagrange Additive and Quadratic Mappings in n‐Banach
Spaces Page 1 Hindawi Publishing Corporation Abstract and Applied Analysis Volume 2013 …

A mapping $ f: V^ n\longrightarrow W $, where $ V $ is a commutative semigroup, $ W $ is a
linear space and $ n $ is a positive integer, is called multi-additive if it is additive in each …