Description

• Tytuł:
  Convergence and well-posedness properties of uniformly locally contractive mappings
• Twórca:
  Reich, Simeon;
  Zaslavski, Alexander J.
• Opis:
  In a 1961 paper by E. Rakotch it was shown that a uniformly locally contractive mapping has a fixed point. In the present paper we show that for such a mapping, the fixed point problem is well posed and that inexact iterates of such a mapping converge to its unique fixed point, uniformly on bounded sets. Using the porosity notion, we also show that most uniformly locally nonexpansive mappings are, in fact, uniformly locally contractive.
• Dostępność obiektu:
  free access
• Prawa:
  Prawa autorskie (c) 2023 Simeon Reich, Alexander J. Zaslavski;
  https://creativecommons.org/licenses/by-nd/4.0
• Data:
  2023.07.16
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  English
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 61, No 2 (June 2023); 761 - 773;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/45116/36040 ;https://apcz.umk.pl/TMNA/article/view/45116/36041
• Temat i słowa kluczowe:
  Complete metric space;
  fixed point;
  inexact iterate;
  nonexpansive mapping;
  Primary: 47H09, 47H10;
  Secondary: 54E50
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/45116
• Dostawca danych:
  Akademicka Platforma Czasopism
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