A STRONG CONVERGENCE THEOREM FOR A PROXIMAL-TYPE ALGORITHM IN REFLEXIVE BANACH SPACES

被引：2

作者：

Reich, Simeon ^{[1
]}

Sabach, Shoham ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2009年 / 10卷 / 03期

基金：

以色列科学基金会;

关键词：

Banach space; Bregman projection; Legendre function; maximal monotone operator; monotone operator; proximal point algorithm; resolvent; totally convex function; TOTAL CONVEXITY; MONOTONE-OPERATORS; POINT; PROJECTION; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a strong convergence theorem for a proximal-type algorithm which approximates (common) zeroes of maximal monotone operators in reflexive Banach spaces This algorithm employs a well-chosen convex function The behavior of the algorithm in the presence of computational errors and in the case of zero free operators is also analyzed. Finally, we mention several corollaries, variations and applications

引用

页码：471 / 485

页数：15

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