Hyers-Ulam Stability of Pompeiu's Point

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.

Ulam - Hyers Stability Theorem by Tripled Fixed Point Theorem

This paper deals with tripled fixed point theorem, and the approach is based on Perov-type fixed point theorem for contractions in metric spaces endowed with vector-valued metrics. We are also study Ulam-Hyers stability results for the tripled fixed points of a triple of contractive type single-valued and respectively multi-valued operators on complete metric spaces.

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.