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Contractive affine generalized iterated function systems which are topologically contracting

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  • Miculescu, Radu
  • Mihail, Alexandru
  • Urziceanu, Silviu-Aurelian

Abstract

In this paper we provide alternative descriptions of those generalized possibly infinite iterated function systems whose constitutive functions are affine contractions which are topologically contracting generalized iterated function systems. As a by-product, we establish conditions under which the attractor of a contractive affine generalized possibly infinite iterated function system is compact.

Suggested Citation

  • Miculescu, Radu & Mihail, Alexandru & Urziceanu, Silviu-Aurelian, 2020. "Contractive affine generalized iterated function systems which are topologically contracting," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307979
    DOI: 10.1016/j.chaos.2020.110404
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    References listed on IDEAS

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    1. Cinzia Colapinto & Davide Torre, 2008. "Iterated Function Systems, Iterated Multifunction Systems, and Applications," Springer Books, in: Cira Perna & Marilena Sibillo (ed.), Mathematical and Statistical Methods in Insurance and Finance, pages 83-90, Springer.
    2. Dumitru, Dan & Ioana, Loredana & Sfetcu, Răzvan-Cornel & Strobin, Filip, 2015. "Topological version of generalized (infinite) iterated function systems," Chaos, Solitons & Fractals, Elsevier, vol. 71(C), pages 78-90.
    3. Herb E. KUNZE & Davide LA TORRE & Edward R. VRSCAY, 2008. "From iterated function systems to iterated multifunction systems," Departmental Working Papers 2008-39, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
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