[1]陈丽丽,高璐,周晶. Banach 空间中平均非扩张集值映射的稳定点[J].哈尔滨理工大学学报,2018,(01):137-142.[doi:10. 15938 /j. jhust. 2018. 01. 025]
 CHEN Li-li,GAO Lu,ZHOU Jing.On Stationary Points of Mean NonexpansiveSet-valued Mappings in Banach Spaces[J].哈尔滨理工大学学报,2018,(01):137-142.[doi:10. 15938 /j. jhust. 2018. 01. 025]
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 Banach 空间中平均非扩张集值映射的稳定点()
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《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

卷:
期数:
2018年01期
页码:
137-142
栏目:
材料科学与工程
出版日期:
2018-02-25

文章信息/Info

Title:
On Stationary Points of Mean Nonexpansive
Set-valued Mappings in Banach Spaces
文章编号:
1007- 2683( 2018) 01- 0137- 06
作者:
 陈丽丽1 高璐1 周晶2
 ( 1. 哈尔滨理工大学应用数学系,黑龙江哈尔滨150080;
2. 哈尔滨工业大学数学系,黑龙江哈尔滨150001)
Author(s):
 CHEN Li-li1 GAO Lu1 ZHOU Jing2
 ( 1. Department of Applied Mathematics,Harbin University of Science and Technology,Harbin 150080,China;
2. Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China)
关键词:
 稳定点 平均非扩张集值映射 渐近稳定点序列 渐近中心 Banach 空间
Keywords:
 stationary point mean nonexpansive set-valued mapping asymptotic stationary points sequenceasymptotic center Banach space
分类号:
O177. 2
DOI:
10. 15938 /j. jhust. 2018. 01. 025
文献标志码:
A
摘要:
 集值映射的不动点理论在近代变分问题、最优化问题、经济均衡问题等研究中发挥着
极其重要的作用,已成为非线性泛函分析理论的重要组成部分。为了研究Banach 空间中平均非
扩张集值映射的稳定点问题,我们依据集值映射的不动点理论,利用渐近稳定点序列、渐近中心、
渐近半径等给出了平均非扩张集值映射具有稳定点的充分必要条件。
Abstract:
 The fixed point theory of the set-valued mappings has important applications in many branches such
as modern variation problems,optimization problems and economic equilibrium problems,and it has been an
essential part of nonlinear functional analysis theory. In order to study the problem of the stationary points of the
mean nonexpansive set-valued mappings in Banach spaces,we based on Fixed Point Theory of the set-valued
mapping,by use of the asymptotic stationary points sequence,the asymptotic center and the asymptotic radius,the
necessary and sufficient conditions for the mean nonexpansive set-valued mappings which have the stationary points
are obtained.

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更新日期/Last Update: 2018-05-24