A NOTE ON HALPERN'S ALGORITHM IN THE HILBERT BALL

被引：0

作者：

Reich, Simeon ^{[1
]}

Shemen, Lital ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2013年 / 14卷 / 04期

基金：

以色列科学基金会;

关键词：

Asymptotic center; fixed point; Hilbert ball; hyperbolic metric; iterative algorithm; metric line; metric segment; metric triangle; nonexpansive mapping; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; APPROXIMATION; OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a strong convergence theorem for Halpern's algorithm in the Hilbert ball. This iterative process concerns the approximation of fixed points of those mappings which are nonexpansive with respect to the hyperbolic metric.

引用

页码：853 / 862

页数：10

共 14 条

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