Convergence of Iterates of Typical Nonexpansive Mappings in Banach Spaces

نویسندگان

  • Simeon Reich
  • Alexander J. Zaslavski
  • ALEXANDER J. ZASLAVSKI
چکیده

Let K be a bounded, closed and convex subset of a Banach space X. We show that the iterates of a typical element (in the sense of Baire category) of a class of nonexpansive mappings which take K to X converge uniformly on K to the unique fixed point of this typical element.

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تاریخ انتشار 2005