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

Author

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

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.

Suggested Citation

  • Saleem, Naeem & Ahmad, Khaleel & Ishtiaq, Umar & De la Sen, Manuel, 2023. "Multivalued neutrosophic fractals and Hutchinson-Barnsley operator in neutrosophic metric space," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    • Handle: RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923005088
    DOI: 10.1016/j.chaos.2023.113607
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    References listed on IDEAS

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    1. Singh, S.L. & Prasad, Bhagwati & Kumar, Ashish, 2009. "Fractals via iterated functions and multifunctions," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1224-1231.
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    3. Alaca, Cihangir & Turkoglu, Duran & Yildiz, Cemil, 2006. "Fixed points in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1073-1078.
    4. Mohamad, Abdul, 2007. "Fixed-point theorems in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1689-1695.
    5. Umar Ishtiaq & Khalil Javed & Fahim Uddin & Manuel de la Sen & Khalil Ahmed & Muhammad Usman Ali & Jesus M. Munoz-Pacheco, 2021. "Fixed Point Results in Orthogonal Neutrosophic Metric Spaces," Complexity, Hindawi, vol. 2021, pages 1-18, August.
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