Description

• Title:
  Modular version of Goebel-Kirk theorem
• Creator:
  Kozlowski, Wojciech M.
• Description:
  In this paper we prove a fixed point theorem for asymptotically nonexpansive mappings acting in modular spaces. This result generalises the 1972 fixed point theorem by K. Goebel and W.A. Kirk. In the process, we extend several other results (including the Milman-Pettis theorem) from the class of Banach spaces to the larger class of regular modular spaces.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Wojciech M. Kozlowski
• Date:
  2024.03.10
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 63, No 1 (March 2024); 99 - 114;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/49319/37956 ;https://apcz.umk.pl/TMNA/article/view/49319/37957
• Subject:
  Fixed point;
  asymptotically nonexpansive mapping;
  modular space;
  Banach space;
  Primary: 47H09;
  Secondary: 46B20, 46A80
• Identifier: https://apcz.umk.pl/TMNA/article/view/49319
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other