Description

• Title:
  Fixed point theorems and fixed point index for countably condensing maps
• Creator:
  Väth, Martin
• Description:
  It is proved that there exists a fixed point index theory for operators which are condensing on the countable subsets of the space only. Even weaker compactness assumptions on countable subsets suffice, e.g. conditions with respect to classes of measures of noncompactness, or if measures of noncompactness of countable noncompact sets are not preserved (not necessarily decreased). As an application, we prove a generalization of the Fredholm alternative.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  1999.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 13, No 2 (June 1999); 341 - 363;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.018/10041
• Subject:
  Fixed point theorem;
  countably condensing operator;
  fixed point index;
  degree theory;
  measure of noncompactness;
  sequential measure of noncompactness;
  multivalued mapping;
  fundamental set;
  ultimately compact operator;
  Fredholm operator;
  positive operator;
  Primary 47H09;
  47H10;
  47H11;
  Secondary 47A53;
  47B07;
  47H07;
  34A60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.018
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other