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arXiv · 0707.1626

Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

Ulrich Kohlenbach·Laurentiu Leustean
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Abstract

This paper provides a fixed point theorem for asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces as well as new effective results on the Krasnoselski-Mann iterations of such mappings. The latter were found using methods from logic and the paper continues a case study in the general program of extracting effective data from prima-facie ineffective proofs in the fixed point theory of such mappings.

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Ulrich Kohlenbach, Laurentiu Leustean. 2008-03-26. Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces. https://arxiv.org/abs/0707.1626

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