Hyperstability and Superstability - Brzdęk - 2013 - Abstract and Applied Analysis - Wiley Online
Library Skip to Article Content Skip to Article Information Wiley Online Library Wiley Online …

The fixed point method has been applied for the first time, in proving the stability results for
functional equations, by Baker (1991); he used a variant of Banach′ s fixed point theorem …

The aim of this article is to prove a fixed point theorem in 2-Banach spaces and show its
applications to the Ulam stability of functional equations. The obtained stability results …

Beginning around the year 1980, the topic of approximate homomorphisms and derivations
and their stability theory in the field of functional equations and inequalities was taken up by …

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 …

This is an expository paper in which we present some simple observations on the stability of
some inhomogeneous functional equations. In particular, we state several stability results for …

Our purpose is to investigate criteria for hyperstability of linear type functional equations. We
prove that a function satisfying the equation approximately in some sense, must be a …

Motivated by the notion of Ulam stability, we investigate the generalized hyperstability
results for the Drygas functional equation f (x+ y)+ f (xy)= 2f (x)+ f (y)+ f (-y), f (x+ y)+ f (xy)= 2 f …

Hyperstability of the Drygas Functional Equation Page 1 Hindawi Publishing Corporation
Journal of Function Spaces and Applications Volume 2013, Article ID 912718, 4 pages http://dx.doi.org/10.1155/2013/912718 …

We prove some stability and hyperstability results for the well‐known Fréchet equation
stemming from one of the characterizations of the inner product spaces. As the main tool, we …