Hyers-Ulam stability of Flett's points

Hyers-Ulam stability of Flett's points

K e y w o r d s H y e r s U l a m stability, Flett mean value theorem, Flett's point. 1. I N T R O D U C T I O N In 1968, Ulam [1] proposed the general problem: "When is it t rue tha t by changing a l i t t le the hypotheses of a theorem one can still assert t ha t the thesis of the theorem remains t rue or approx imate ly t rue?" In 1978, Gruber [2] proposed the following Ulam type problem: "S...

Hyers-ulam Stability of Isometries

Let X and Y be real Banach spaces. A mapping q5 : X --t Y is called an &-isometry if 1 IIq5(z) ~$(y)jl 11% yI/ I 5 E holds for all z,y E X. If q5 is surjective, then its distance to the set of all isometries of X onto Y is at most yx~, where yx denotes the Jung constant of X.

Hyers-Ulam Stability of Fibonacci Functional Equation

Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay

In this paper we are going to study the Hyers{Ulam{Rassias typesof stability for nonlinear, nonhomogeneous Volterra integral equations with delayon nite intervals.

Hyers-Ulam stability of Volterra integral equation

We will apply the successive approximation method forproving the Hyers--Ulam stability of a linear integral equation ofthe second kind.