Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

被引：0

作者：

Kohlenbach, U. ^{[1
]}

Leustean, L. ^{[1
,2
]}

机构：

[1] Tech Univ Darmstadt, Dept Math, D-64289 Darmstadt, Germany

[2] Romanian Acad, Inst Math Simion Stoilow, Bucharest, Romania

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2010年 / 12卷 / 01期

关键词：

Proof mining; functionals of finite type; metric fixed point theory; asymptotically non-expansive mappings; uniformly convex hyperbolic spaces; CAT(0)-spaces; Krasnosel'skii-Mann iterations; LOGICAL METATHEOREMS; FIXED-POINTS; ITERATIONS; CONVERGENCE; SEQUENCES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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'skii-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.

引用

页码：71 / 92

页数：22

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