A generalized variational principle

被引：8

作者：

Loewen, PD ^{[1
]}

Wang, XF

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] Okanagan Univ Coll, Dept Math & Stat, Kelowna, BC V1V 1V7, Canada

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2001年 / 53卷 / 06期

关键词：

variational principle; strong minimizer; generalized Smulyan test; Asplund space; dimple point; porosity;

D O I：

10.4153/CJM-2001-044-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a strong variant of the Borwein-Preiss Variational principle, and show that on Asplund spaces, Stegall's variational principle follows from it via a generalized Smulyan test. Applications are discussed.

引用

页码：1174 / 1193

页数：20

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