LIPSCHITZ CONTINUITY OF THE METRIC PROJECTION

被引：6

作者：

ABATZOGLOU, T

机构：

[1] Department of Mathematics, Iowa State University, Antes

来源：

JOURNAL OF APPROXIMATION THEORY | 1979年 / 26卷 / 03期

关键词：

D O I：

10.1016/0021-9045(79)90059-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the Lipschitz continuity of the best approximation operator from a Hilbert (Banach) space into an approximatively compact subset. We study the notion of directional radius of curvature and show how the Lipschitz continuity of the metric projection depends on it. © 1979.

引用

页码：212 / 218

页数：7

共 6 条

[1]

ABATZOGLOU TJ, 1978, T AM MATH SOC, V243, P115

[2] METRIC CURVATURE, FOLDING, AND UNIQUE BEST APPROXIMATION [J].