Mean Chain Transitivity and Almost Mean Shadowing Property of Iterated Function Systems

Authors

  • Khundrakpam Binod Mangang Department of Mathematics, Manipur University, Canchipur-795003, Imphal, India Author

Keywords:

Transitivity, shadowing, pseudo-orbits

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 (IFS). 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 the almost mean shadowing property.

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Published

2026-01-20

Issue

Vol. 8 No. 1 (2026): Abstracts of International Conference on Advances in Multidisciplinary Sciences and Engineering 2026

Section

Abstracts

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How to Cite

[1]
K. B. Mangang, “Mean Chain Transitivity and Almost Mean Shadowing Property of Iterated Function Systems”, AIJR Abs., vol. 8, no. 1, p. 122, Jan. 2026, Accessed: Jun. 04, 2026. [Online]. Available: https://abstracts.aijr.org/index.php/abs/article/view/258