MULTI PARAMETER PROXIMAL POINT ALGORITHMS

被引：0

作者：

Boikanyo, Oganeditse A. ^{[2
]}

Morosanu, Gheorghe ^{[1
]}

机构：

[1] Cent European Univ, Dept Math & Its Applicat, H-1051 Budapest, Hungary

[2] Univ Botswana, Dept Math, Gaborone, Botswana

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2012年 / 13卷 / 02期

关键词：

Firmly nonexpansive operator; maximal monotone operator; nonexpansive map; proximal point algorithm; resolvent operator; STRONG-CONVERGENCE; MONOTONE-OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove a strong convergence result for an algorithm introduced by Y. Yao and M. A. Noor in 2008 under a new condition on one of the parameters involved. Further, convergence properties of a generalized proximal point algorithm which was introduced in [5] are analyzed. The results in this paper are proved under the general condition that errors tend to zero in norm. These results extend and improve several previous results on the regularization method and the proximal point algorithm.

引用

页码：221 / 231

页数：11

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