Fixed point theorems of mean nonexpansive set-valued mappings in Banach spaces

被引：0
|
作者：
Lili Chen
Lu Gao
Deyun Chen
机构：
[1] Harbin University of Science and Technology,Post Doctoral Station for Computer Science and Technology, Department of Mathematics
[2] Harbin University of Science and Technology,Department of Applied Mathematics
[3] Harbin University of Science and Technology,School of Computer Science and Technology
来源：
Journal of Fixed Point Theory and Applications | 2017年 / 19卷
关键词：
Fixed point; Mean nonexpansive set-valued mapping; Asymptotic stationary point sequence; Asymptotic center; Stationary point; 46B20; 46E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce the concept of a mean nonexpansive set-valued mapping in Banach spaces, and extend Nadler’s fixed point theorem and Lim’s fixed point theorem to the case of mean nonexpansive set-valued mappings. Furthermore, using the characteristic of convexity, Opial property, and (DL)-condition, necessary and sufficient conditions for mean nonexpansive set-valued mappings which have the stationary points in Banach spaces are obtained.
引用
收藏
页码：2129 / 2143
页数：14
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