On the existence of the Hutchinson measure for generalized iterated function systems

• Strobin Filip ^[1]
  1. [1] Lodz University of Technology

     Lodz University of Technology

     Łódź, Polonia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 3, 2020
• Idioma: inglés
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• Resumen

  • We prove that each generalized (in the sense of Miculescu and Mihail) IFS consisting of contractive maps generates the unique generalized Hutchinson measure. This result extends the earlier result due to Miculescu in which the assertion is proved under certain additional contractive assumptions.