Description

• Title:
  Approximate selections in ${\alpha}$-convex metric spaces and topological degree
• Creator:
  de Blasi, Francesco S.;
  Pianigiani, Giulio
• Description:
  The existence of continuous approximate selections is proved for a class of upper semicontinuous multifunctions taking closed $\alpha$-convex values in a metric space equipped with an appropriate notion of $\alpha$-convexity. The approach is based on the definition of pseudo-barycenter of an ordered $n$-tuple of points. As an application, a notion of topological degree for a class of $\alpha$-convex multifunctions is developed.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2004.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 24, No 2 (December 2004); 347 - 375;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.032/9249
• Subject:
  Continuous approximate selection;
  multifunction;
  convex metric space;
  pseudo-barycenter;
  topological degree;
  Primary 54C65;
  Secondary 54C60;
  47H11
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.032
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other