Geodesic
Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 71-92.

Voir la notice de l'article provenant de la source EMS Press

This paper provides a fixed point theorem for asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces as well as new effective results on the Krasnosel’skiĭ–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.
DOI : 10.4171/jems/190
Classification : 03-XX, 47-XX, 00-XX
Keywords: Proof mining, functionals of finite type, metric fixed point theory, asymptotically nonexpansive mappings, uniformly convex hyperbolic spaces, CAT(0)-spaces, Krasnosel’skiĭ–Mann iterations 
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     author = {Ulrich Kohlenbach and Laurentiu Leu\c{s}tean},
     title = {Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces},
     journal = {Journal of the European Mathematical Society},
     pages = {71--92},
     publisher = {mathdoc},
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Ulrich Kohlenbach; Laurentiu Leuştean. Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces. Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 71-92. doi : 10.4171/jems/190. http://geodesic.mathdoc.fr/articles/10.4171/jems/190/

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