Opis

• Tytuł:
  Remetrization results for possibly infinite self-similar systems
• Twórca:
  Miculescu, Radu;
  Mihail, Alexandru
• Opis:
  In this paper we introduce a concept of possibly infinite self-similar system which generalizes the attractor of a possibly infinite ite\-ra\-ted function system whose constitutive functions are $\varphi$-contractions. We prove that for a uniformly possibly infinite self-similar system there exists a remetrization which makes contractive all its constitutive functions. Then, based on this result, we show that for such a system there exist a comparison function $\varphi $ and a remetrization of the system which makes $\varphi $-contractive all its constitutive functions. Finally we point out that in the case of a finite set of constitutive functions our concept of a possibly infinite self-similar system coincides with Kameyama's concept of a topological self-similar system.
• Dostępność obiektu:
  Dostęp otwarty
• Prawa:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Data:
  2016.03.01
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  angielski
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 47, No 1 (March 2016); 333 - 345;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.009/7744 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.009/7745
• Temat i słowa kluczowe:
  Possibly infinite self-similar systems;
  remetrizations;
  $\varphi$-contractions;
  28A80;
  37B10;
  37C70;
  54E35
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.009
• Dostawca danych:
  Akademicka Platforma Czasopism
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