Description

• Title:
  Hölder continuous retractions and amenable semigroups of uniformly Lipschitzian mappings in Hilbert spaces
• Creator:
  Wiśnicki, Andrzej
• Description:
  Suppose that $S$ is a left amenable semitopological semigroup. We prove that if $\mathcal{S}=\{ T_{t}:t\in S\} $ is a uniformly $k$-Lipschitzian semigroup on a bounded closed and convex subset $C$ of a Hilbert space and $k< \sqrt{2}$, then the set of fixed points of $\mathcal{S}$ is a Hölder continuous retract of $C$. This gives a qualitative complement to the Ishihara-Takahashi fixed point existence theorem.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 43, No 1 (March 2014); 89 - 96;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.006/8120
• Subject:
  Amenable semigroup;
  uniformly Lipschitzian mapping;
  Hölder continuous retraction;
  fixed point;
  47H10;
  47H20;
  54C15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.006
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other