Description

• Title:
  Stability of multivalued attractor
• Creator:
  Rypka, Miroslav
• Description:
  Stimulated by recent problems in the theory of iterated function systems, we provide a variant of the Banach converse theorem for multivalued maps. In particular, we show that attractors of continuous multivalued maps on metric spaces are stable. Moreover, such attractors in locally compact, complete metric spaces may be obtained by means of the Banach theorem in the hyperspace.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.02.24
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 1 (March 2019); 97 - 109;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.002/16897 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.002/16898
• Subject:
  Converse of Banach theorem;
  multivalued map;
  multivalued attractor;
  stability;
  Primary;
  37B25;
  54H20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.002
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other