Description

• Title:
  Common fixed points in Chebyshev center for a semigroup of isometry mappings
• Creator:
  Abhishek, Sharma;
  Rajesh, Sankara Narayanan
• Description:
  In this article, we prove that if $K$ is a nonempty weakly compact convex set having the normal structure in a Banach space $B$ and $\mathfrak{F}$ is a left reversible semitopological semigroup of isometry mappings from $K$ into itself, then there exists a point in $C(K)$ which is fixed by every member in $\mathfrak{F}$. This gives an affirmative answer to a question raised by Lim et al.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2025 Sharma Abhishek, Sankara Narayanan Rajesh
• Date:
  2025.03.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 65, No 1 (March 2025); 1 - 11;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/60417/42253 ;https://apcz.umk.pl/TMNA/article/view/60417/42254
• Subject:
  Isometry mappings;
  common fixed points;
  topological semigroup;
  semigroup action;
  left reversible semigroup;
  normal structure;
  Chebyshev center;
  47H09, 47H10, 20M30, 43A07, 46B20
• Identifier: https://apcz.umk.pl/TMNA/article/view/60417
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other