BI-Shadowing of Contractive Set - Valued Mappings with Application to IFS’S: the Non-Convex Case

Authors

  • Anwar A. Al-Badarneh

Keywords:

Bi-shadowing, Set-valued Mapping, Contractive Mapping, Iterated Function System IFS.

Abstract

In this paper we prove that systems generated by uniformly locally contractive set-valued mappings are bi-shadowing with respect to comparison set-valued contractive mappings that have nonempty and compact (not necessarily convex) values. An application to iterated function systems (IFSs) in a complete metric space is given.

Key words and phrases. Bi-shadowing, Set-valued Mapping, Contractive Mapping, Iterated Function System IFS.

1991 Mathematics Subject Classification. 37C50, 54C60, 47H04, 58C06

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Published

2025-05-18

How to Cite

Anwar A. Al-Badarneh. (2025). BI-Shadowing of Contractive Set - Valued Mappings with Application to IFS’S: the Non-Convex Case. Jordan Journal of Mathematics and Statistics, 7(4), 287–301. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1075

Issue

Vol. 7 No. 4 (2014)

Section

Articles