Porosity and Fixed Points of Nonexpansive Set-Valued Maps

被引：0
|
作者：
Lihui Peng
Chong Li
机构：
[1] Zhejiang Gongshang University,Department of Mathematics
[2] Zhejiang University,Department of Mathematics
来源：
Set-Valued and Variational Analysis | 2014年 / 22卷
关键词：
Porosity; Fixed point; Nonexpansive set-valued map; Admissible family; 47H09; 47H10;
D O I：
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中图分类号：
学科分类号：
摘要：
We study the existence problems of fixed points and the topological structure of fixed point sets for nonexpansive set-valued maps in Banach space. We establish some porosity results on the existence of fixed points and the topological structure of fixed point sets for nonexpansive set-valued maps with values in an admissible family. The results obtained in the present paper cover and improve the corresponding ones due to De Blasi and Myjak (C. R. Acad. Sci. Paris Sér. I Math. 308:51–54, 1989) and De Blasi et al. (Set-Valued Anal. 17:97–112, 2009).
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页码：333 / 348
页数：15
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