REMARKS ON ITERATIVE METHODS FOR MULTIVALUED NONEXPANSIVE MAPPINGS

被引：0

作者：

Xu, Hong-Kun ^{[1
,2
]}

Alghamdi, Maryam A. ^{[3
]}

Shahzad, Naseer ^{[4
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Peoples R China

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Po Box 4087, Jeddah 21491, Saudi Arabia

[4] King Abdulaziz Univ, Fac Sci, Dept Math, Po Box 80203, Jeddah 21491, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 01期

关键词：

Multivalued nonexpansive mapping; implicit Mann method; fixed point; Banach limit; uniformly convex Banach space; Opial's property; BANACH-SPACES; WEAK-CONVERGENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the implicit Mann method can generate a sequence strongly convergent to a fixed point of a multivalued nonexpansive mapping in a uniformly convex Banach space with Opial's property. It is also demonstrated some examples which show that both Mann and implicit Mann methods may in general fail to converge to a fixed point of a multivalued nonexpansive mapping.

引用

页码：161 / 171

页数：11

共 17 条

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