Multivalued neutrosophic fractals and Hutchinson-Barnsley operator in neutrosophic metric space

Naeem Saleem, Khaleel Ahmad, Umar Ishtiaq and Manuel De la Sen

Chaos, Solitons & Fractals, 2023, vol. 172, issue C

Abstract: In this article, we introduce the concept of multivalued fractals in neutrosophic metric spaces using an iterated multifunction system made up of a finite number of neutrosophic B-contractions and neutrosophic Edelstein contractions. Further, we show that multivalued fractals exist and are unique in both complete neutrosophic metric spaces and compact neutrosophic metric spaces and investigate the Collage theorem in order to study multivalued neutrosophic fractals in neutrosophic metric spaces. Also, we establish the neutrosophic contraction characteristics of the Hutchinson-Barnsley operator on the neutrosophic hyperspace and Hausdorff neutrosophic metric spaces.

Keywords: Iterated Function System; Hutchinson-Barnsley operator; Fractals; Neutrosophic B-contraction (BC); Neutrosophic Edelstein contraction; Iterated multifunction system (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923005088

DOI: 10.1016/j.chaos.2023.113607

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