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

In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability
including Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias …

We consider a new approach to approximate stability analysis for a tri-additive functional
inequality and to obtain the optimal approximation for permuting tri-derivations and tri …

In this manuscript, we give some sufficient conditions for existence, uniqueness and various
kinds of Ulam stability for a toppled system of fractional order boundary value problems …

This book discusses the rapidly developing subject of mathematical analysis that deals
primarily with stability of functional equations in generalized spaces. The fundamental …

The issue of Ulam's type stability of an equation is understood in the following way: when a
mapping which satisfies the equation approximately (in some sense), it is" close" to a …

In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-
like spaces are defined. Existence and uniqueness of fixed points for this class of mappings …

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 …

In this manuscript, using Schaefer's fixed point theorem, we derive some sufficient conditions
for the existence of solutions to a class of fractional differential equations (FDEs). The …