A Polynomial Rate of Asymptotic Regularity for Compositions of Projections in Hilbert Space

被引：1

作者：

Ulrich Kohlenbach

机构：

[1] Technische Universität Darmstadt,Department of Mathematics

来源：

Foundations of Computational Mathematics | 2019年 / 19卷

关键词：

Convex feasibility problems; Asymptotic regularity; Strongly nonexpansive mappings; Proof mining; 47H05; 47H09; 03F10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper provides an explicit polynomial rate of asymptotic regularity for (in general inconsistent) feasibility problems in Hilbert space. In particular, we give a quantitative version of Bauschke’s solution of the zero displacement problem as well as of various generalizations of this problem. The results in this paper have been obtained by applying a general proof-theoretic method for the extraction of effective bounds from proofs due to the author (‘proof mining’) to Bauschke’s proof.

引用

页码：83 / 99

页数：16

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