On Some Recent Developments in Ulam′s Type Stability - Brillouët-Belluot - 2012 -
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No books dealing with a comprehensive illustration of the fast developing field of nonlinear
analysis had been published for the mathematicians interested in this field for more than a …

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 note, we prove a simple fixed point theorem for a special class of complete metric
spaces (namely, complete non-Archimedean metric spaces which are connected with some …

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 …

In this survey we show how various notions of orthogonality appear in the theory of
functional equations. After introducing some orthogonality relations, we give examples of …

Let R be the set of real numbers, Y a Banach space and f: R→ Y. We prove the Hyers–Ulam
stability theorem for the quadratic functional inequality‖ f (x+ y)+ f (x− y)− 2 f (x)− 2 f (y)‖≤ …

A fixed point technique for investigating the stability of (α,β,γ)-derivations on Lie C∗-algebras -
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In this paper, we solve the inhomogeneous Euler differential equation, x 2 y ″(x)+ α
xy′(x)+ β y (x)= f (x), and prove the Hyers–Ulam stability of that equation on a bounded …

In this paper, we prove the Hyers-Ulam stability theorem when $${f, g, h:\mathbb
{R}\to\mathbb {R}} $$ satisfy in a set $${\Gamma\subset\mathbb {R}^{2}} $$ of measure …