Description

• Title:
  An axiomatic approach to a coincidence index for noncompact function pairs
• Creator:
  Väth, Martin
• Description:
  We prove that there is a coincidence index for the inclusion $F(x)\in\Phi(x)$ when $\Phi$ is convex-valued and satisfies certain compactness assumptions on countable sets. For $F$ we assume only that it provides a coincidence index for single-valued finite-dimensional maps (e.g. $F$ is a Vietoris map). For the special case $F={\rm id}$, the obtained fixed point index is defined if $\Phi$ is countably condensing; the assumptions in this case are even weaker than in [M. Väth, < i> Fixed point theorems and fixed point index for countably condensing maps< /i> , Topol. Methods Nonlinear Anal. < b> 13< /b> (1999), 341–363].
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2000.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 16, No 2 (December 2000); 307 - 338;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.043/9968
• Subject:
  Degree theory;
  fixed point index;
  coincidence index;
  condensing operator;
  measure of noncompactness;
  Primary 47H11;
  47H09;
  Secondary 47H10;
  47H04;
  47J05;
  54H25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.043
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other