carpathian_2025_41_4_1079-1090

A new type of cyclic iterated function systems via enriched cyclic weak contractions


Rizwan Anjum, Mihaela Ancuta Chira


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carpathian_2025_41_4_1079-1090

https://doi.org/10.37193/CJM.2025.04.15

 

Published on 17 September 2025

Abstract.

The purpose of this article is to introduce a new class of enriched cyclic contractions in Banach spaces, called enriched cyclic weak contractions. As an application, we define the corresponding cyclic iterated function system composed of this new class of enriched cyclic contractions. Some examples are also presented to validate the theoretical results.