A New Extragradient-Type Algorithm for the Split Feasibility Problem

被引：2

作者：

Dang, Yazheng ^{[1
]}

Gao, Yan ^{[1
]}

Wang, Bo ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Sch Management, Shanghai 200093, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2016年 / 2016卷

基金：

美国国家科学基金会; 上海市自然科学基金;

关键词：

NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHMS; CONVERGENCE THEOREMS; CQ ALGORITHM; CONVEX-SETS; PROJECTION;

D O I：

10.1155/2016/6851393

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the split feasibility problem (SFP) in Hilbert spaces, inspired by extragradient method presented by Ceng, Ansari for split feasibility problem, subgradient extragradient method proposed by Censor, and variant extragradient-type method presented by Yao for variational inequalities; we suggest an extragradient-type algorithm for the SFP. We prove the strong convergence under some suitable conditions in infinite-dimensional Hilbert spaces.

引用

页数：8

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