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Lim's center and fixed-point theorems for isometry mappings

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Publication:1751981
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DOI10.1215/20088752-2017-0046OpenAlexW2763124889MaRDI QIDQ1751981

P. Veeramani, Sangem Rajesh

Publication date: 25 May 2018

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1507881623


zbMATH Keywords

asymptotic centerChebyshev centerisometry mappingscenter of a convex set


Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)


Related Items

Normal structure and invariance of Chebyshev center under isometries ⋮ Fixed-point theorem for isometric self-mappings



Cites Work

  • Chebyshev centers and fixed point theorems
  • Fixed points of isometries on weakly compact convex sets
  • A Three-Point Characterization of Central Symmetry
  • On Asymptotic Centers and Fixed Points of Nonexpansive Mappings
  • Shorter Notes: The Center of a Convex Set
  • Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
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