Generic Existence of Fixed Points for Set-Valued Mappings

被引：0
|
作者：
Simeon Reich
Alexander J. Zaslavski
机构：
[1] The Technion-Israel Institute of Technology,Department of Mathematics
来源：
Set-Valued Analysis | 2002年 / 10卷
关键词：
Banach space; complete metric space; fixed point; generic property; set-valued mapping;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：287 / 296
页数：9
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