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

页码：2129 / 2143

页数：14

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