Mann Iterates of Directionally Nonexpansive Mappings in Hyperbolic Spaces

  title={Mann Iterates of Directionally Nonexpansive Mappings in Hyperbolic Spaces},
  author={Ulrich Kohlenbach and Laurentiu Leustean},
In a previous paper, the first author derived an explicit quantitative version of a theorem due to Borwein, Reich, and Shafrir on the asymptotic behaviour of Mann iterations of nonexpansive mappings of convex sets C in normed linear spaces. This quantitative version, which was obtained by a logical analysis of the ineffective proof given by Borwein, Reich, and Shafrir, could be used to obtain strong uniform bounds on the asymptotic regularity of such iterations in the case of bounded C and even… CONTINUE READING
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