Description

• Title:
  Degree and index theories for noncompact function triples
• Creator:
  Väth, Martin
• Description:
  We describe a very general procedure how one may extend an arbitrary degree or index theory (originally defined only for compact maps) also for large classes of noncompact maps. We also show how one may obtain degree or index theories relative to some set. Our results even apply to the general setting when one has a combined degree and index theory for function triples. The results are applied to countably condensing perturbations of monotone maps.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2007.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 29, No 1 (March 2007); 79 - 117;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.005/8830
• Subject:
  Fixed point index;
  degree theory;
  multivalued map;
  fundamental set;
  countably condensing map;
  nonconvex domain;
  ANR;
  measure of noncompactness;
  Skrypnik degree;
  Primary;
  47H11;
  47H09;
  55M20;
  55M25;
  Secondary;
  47H04;
  47H10;
  54C55;
  54C60;
  54H25;
  55M15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.005
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other