Description

• Title:
  Relative versions of the multivalued Lefschetz and Nielsen theorems and their application to admissible semi-flows
• Creator:
  Andres, Jan;
  Górniewicz, Lech;
  Jezierski, Jerzy
• Description:
  The relative Lefschetz and Nielsen fixed-point theorems are generalized for compact absorbing contractions on ANR-spaces and nilmanifolds. The nontrivial Lefschetz number implies the existence of a fixed-point in the closure of the complementary domain. The relative Nielsen numbers improve the lower estimate of the number of coincidences on the total space or indicate the location of fixed-points on the complement. Nontrivial applications of these topological invariants (under homotopy) are given to admissible semi-flows and differential inclusions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2000.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 16, No 1 (September 2000); 73 - 92;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.031/9976
• Subject:
  Relative Lefschetz and Nielsen numbers;
  proper pairs of spaces;
  fixed-points and coincidences;
  CAC-maps;
  ANR-spaces;
  nilmanifolds;
  admissible semi-flows;
  differential inclusions;
  34A60;
  47H04;
  47H10;
  55M20;
  58C06
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.031
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other