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t-relational generalized iterated function systems

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  • Abraham, Izabella
  • Miculescu, Radu
  • Mihail, Alexandru

Abstract

This paper introduces a new wider class of generalized iterated function systems, called t-relational generalized iterated function systems. An equivalence relation is used to weaken the contractivity condition on the functions defined on product spaces and the introduction of an additional function t allows us to use the classical Hutchinson operator. It turns out that each non-empty and compact subset of the underlying metric space generates a unique attractor for the system. Furthermore, two results pointing out the connections between the attractors and the generating compact sets are provided. Finally, we present two examples that complement our results.

Suggested Citation

  • Abraham, Izabella & Miculescu, Radu & Mihail, Alexandru, 2026. "t-relational generalized iterated function systems," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:chsofr:v:203:y:2026:i:c:s0960077925017229
    DOI: 10.1016/j.chaos.2025.117709
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