Iterative methods for zero points of accretive operators in Banach spaces

被引：0
|
作者：
Wang, Sheng Hua [1 ]
Cho, Sun Young [2 ]
Qin, Xiao Long [3 ]
机构：
[1] N China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
[2] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[3] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2012年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Accretive operator; Fixed point; Nonexpansive mapping; Range condition; Zero point; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; APPROXIMATION METHODS; MONOTONE-OPERATORS; WEAK-CONVERGENCE; RESOLVENTS; ALGORITHMS; EQUATIONS; ISHIKAWA; ERRORS;
D O I：
10.2478/v10309-012-0022-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to consider the problem of approximating zero points of accretive operators. We introduce and analysis Mann-type iterative algorithm with errors and Halpern-type iterative algorithms with errors. Weak and strong convergence theorems are established in a real Banach space. As applications, we consider the problem of approximating a minimizer of a proper lower semicontinuous convex function in a real Hilbert space.
引用
收藏
页码：329 / 343
页数：15
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