Fixed Point Theorem of Iterated Function System

Songil R

Abstract

In 2012, Bessem, Calogero and Pasquale proved some fixed point theorem which improved the Banach contraction theorem. Iterated function systems (IFS) were introduced by Hutchinson in 1981 as a natural generalization of the well-known Banach contraction principle. The purpose of this paper is to study the iterated function system using Bessem, Calogero and Pasquale mappings.