Mean chain transitivity and almost mean shadowing property of iterated function systems-Reference-Cited by-同舟云学术

Mean chain transitivity and almost mean shadowing property of iterated function systems

Published:2024 Issue:8 Volume:9 Page:20811-20825
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Devi Thiyam Thadoi¹,Mangang Khundrakpam Binod¹,Akoijam Sonika¹,Lalhmangaihzuala ²,Ramwungzan Phinao³,Singh Jay Prakash⁴

Affiliation:

1. Department of Mathematics, Manipur University, Canchipur, Imphal, Manipur 795003, India

2. Department of Mathematics, Government Serchhip College, Serchhip, Mizoram 796181, India

3. Department of Mathematics, Manipur Technical University, Imphal, Manipur 795004, India

4. Department of Mathematics, Central University of South Bihar, Gaya, Bihar 824236, India

Abstract

In this paper, we introduce the notions of mean chain transitivity, mean chain mixing, totally mean chain transitivity, and almost mean shadowing property to iterated function systems (<i>IFS</i>). We study the interrelations of these notions. We prove that an iterated function system is chain transitive if one of the constituent maps is surjective, and it has almost mean shadowing property.

Publisher

American Institute of Mathematical Sciences (AIMS)

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