Revisit the over-relaxed proximal point algorithm

被引：0

作者：

Huang, Zhenyu ^{[1
]}

Noor, Muhammad Aslam ^{[2
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 62卷

关键词：

Variational inclusions; Over-relaxed A-maximal m-monotone mappings; Proximal point algorithms; Hilbert spaces; VARIATIONAL-INEQUALITIES; MONOTONE-OPERATORS; CONVERGENCE; MAPPINGS;

D O I：

10.1016/j.aml.2016.07.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to revisit the proximal point algorithms with over-relaxed A-maximal m-relaxed monotone mappings for solving variational inclusions in Hilbert spaces without Lipschitz continuity requirement to overcome the drawbacks of the paper (Verma, 2009) [5]. We affirmatively answer the open question mentioned in the paper (Huang and Noor, 2012) [6]. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：55 / 62

页数：8

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