Many nonexpansive mappings are strict contractions

被引：0

作者：

Reich, S ^{[1
]}

Zaslavski, AJ ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ABSTRACT AND APPLIED ANALYSIS | 2004年

关键词：

Banach space; complete metric space; generic property; nonexpansive mapping; porous set; strict contraction;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a bounded closed convex subset of a Banach space X. We consider the space (A, d) of all nonexpansive self-mappings of K equipped with an appropriate complete metric d and prove that the complement of the subset of strict contractions is porous.

引用

页码：305 / 311

页数：7

共 15 条

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Zaslavski, AJ
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