WEAK LOCAL SUPPORTABILITY AND APPLICATIONS TO APPROXIMATION

被引：11

作者：

BORWEIN, JM

机构：

[1] Dalhousie University, Halifax, N. S.

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1979年 / 82卷 / 02期

关键词：

D O I：

10.2140/pjm.1979.82.323

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Perturbed optimization problems are studied using a weaker notion of local supportability than that developed by Ekeland and Lebourg. This weakening allows for a more comprehensive treatment of such problems. In particular we prove that nearest points exist densely for closed relatively weakly compact sets in spaces with locally uniformly convex norms and provide a simplified proof in this framework that a normed space with a Fr6chet norm is an Asplund space. © 1979 Pacific Journal of Mathematics.

引用

页码：323 / 338

页数：16

共 17 条

[1] FARTHEST POINTS IN REFLEXIVE LOCALLY UNIFORMLY ROTUND BANACH SPACES [J].