Description

• Title:
  On the structure of fixed point sets of asymptotically regular mappings in Hilbert spaces
• Creator:
  Górnicki, Jarosław
• Description:
  The purpose of this paper is to prove the following theorem: Let $H$ be a Hilbert space, let $C$ be a nonempty bounded closed convex subset of $H$ and let $T\colon C\rightarrow C$ be an asymptotically regular mapping. If $$ \liminf_{n\rightarrow \infty} \|T^n\|< \sqrt{2}, $$ then $Fix T=\{x\in C:Tx=x\}$ is a retract of $C$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2009.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 34, No 2 (December 2009); 383 - 389;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.049/8639
• Subject:
  Asymptotically regular mapping;
  retraction;
  asymptotic center;
  fixed point;
  Hilbert space;
  Primary 47H09;
  47H10;
  Secondary 54C15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.049
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other