Description

• Title:
  Optimal retraction problem for proper $k$-ball-contractive mappings in $C^m [0,1]$
• Creator:
  Caponetti, Diana;
  Trombetta, Alessandro;
  Trombetta, Giulio
• Description:
  In this paper for any $\eps > 0$ we construct a new proper $k$-ball-contractive retraction of the closed unit ball of the Banach space $C^m [0,1]$ onto its boundary with $k < 1+ \eps$, so that the Wo\'sko constant $W_\gamma (C^m [0,1])$ is equal to $1$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.02.17
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 1 (March 2019); 111 - 125;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.041/16847 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.041/16848
• Subject:
  Retraction;
  measure of noncompactness;
  proper mapping;
  Primary;
  47H09;
  Secondary;
  46B20;
  54C14
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.041
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other