Various shadowing properties and their equivalent for expansive iterated function systems

TL;DR

This paper introduces expansive iterated function systems on compact metric spaces and explores various shadowing properties, establishing their equivalence within this context.

Contribution

It defines expansive IFS and analyzes the relationships among different shadowing properties, providing new insights into their equivalence.

Findings

Shadowing properties are equivalent for expansive IFS.

Expansive IFS exhibit robust shadowing behavior.

Theoretical framework for shadowing in IFS is established.

Abstract

In this paper we introduce expansive iterated function systems, ( IFS) on a compact metric space then various shadowing properties and their equivalence are considered for expansive IFS.