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The fixed point property in c$_{\hbox {\bf 0}}$

Llorens-Fuster, Enrique and Sims, Brailey (1997) The fixed point property in c$_{\hbox {\bf 0}}$. [Preprint]

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      Abstract

      We say a closed convex subset of the Banach space $(X,\|\cdot\|)$ has the {\sl fixed point property} (fpp) if every nonexpansive mapping $T:C\longrightarrow C$ has a fixed point. Here, $T$ nonexpansive means $\|Tx - Ty\| \leq \|x - y\|$, for all $x,\,y\in C$. We ask which nonempty closed bounded convex subsets of $c_0$ enjoy the fpp?

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Subjects: UNSPECIFIED
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 25 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/183

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