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Generic existence of fixed points for set-valued mappings

被引：22
|
作者：
Reich, S [1 ]
Zaslavski, AJ [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
SET-VALUED ANALYSIS | 2002年 / 10卷 / 04期
关键词：
Banach space; complete metric space; fixed point; generic property; set-valued mapping;
D O I：
10.1023/A:1020602030873
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first consider a complete metric space of nonexpansive set-valued mappings acting on a closed convex subset of a Banach space with a nonempty interior, and show that a generic mapping in this space has a fixed point. We then establish analogous results for two complete metric spaces of set-valued mappings with convex graphs.
引用
收藏
页码：287 / 296
页数：10
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