Description

• Title:
  A fixed point theorem for nonself nonlinear contractions in length spaces
• Creator:
  Reich, Simeon;
  Zaslavski, Alexander J.
• Description:
  In 1988 N.A. Assad showed that a nonself nonlinear contraction taking a closed subset of a complete metrically convex space into the space so that the boundary of this subset is mapped back into the subset itself has a unique fixed point. In the present paper we extend this result by replacing the complete metrically convex space with a complete metric space which is a length space.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2024 Simeon Reich, Alexander J. Zaslavski;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2024.03.03
• 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); 13 - 22;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/49144/37870 ;https://apcz.umk.pl/TMNA/article/view/49144/37871
• Subject:
  Complete metric space;
  contractive mapping;
  fixed point, nonexpansive mapping;
  Primary: 47H09, 47H10;
  Secondary: 54E35
• Identifier: https://apcz.umk.pl/TMNA/article/view/49144
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other