A NEW ALGORITHM FOR SOLVING THE MULTIPLE-SETS SPLIT FEASIBILITY PROBLEM IN BANACH SPACES

被引：47

作者：

Wang, Fenghui ^{[1
]}

机构：

[1] Luoyang Normal Univ, Dept Math, Luoyang 471022, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2014年 / 35卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Bregman projection; CQ algorithm; Duality mapping; Metric projection; Split feasibility problem; Uniformly convex; Uniformly smooth; STRONG-CONVERGENCE; CQ ALGORITHM;

D O I：

10.1080/01630563.2013.809360

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we propose a new algorithm for solving the multiple-sets split feasibility problem in Banach spaces. Under some mild conditions we establish the norm convergence of the proposed algorithm. One advantage of the proposed algorithm is that its norm convergence does not need the weak-to-weak continuity of the duality mapping.

引用

页码：99 / 110

页数：12

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