On the Ulam Type Stabilities of Iterative Integral Equations

Abstract

This paper deals with the Hyers-Ulam-Rassias stability (HUR stability) and the Hyers-Ulam stability (HU stability) of an iterative integral equation (IIE). We prove new theorems on the HUR stability and the HU stability of the IIE via the Banach's fixed point theorem (BFPT) using the Bielecki metric. The theorems of this work are new and allow new improvements to the HUR stability and HU stability of IIEs.