A fixed point method for solving a split feasibility problem in Hilbert spaces

被引：20

作者：

Qin, Xiaolong ^{[1
]}

Wang, Lin ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Sichuan, Peoples R China

[2] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming, Yunnan, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hilbert space; Monotone mapping; Nonexpansive mapping; Split feasibility problem; Weak convergence; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHMS; WEAK-CONVERGENCE; SETS; PROJECTION; OPERATORS;

D O I：

10.1007/s13398-017-0476-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a fixed method is introduced and investigated for solving a split feasibility problem. A strong convergence theorem of solutions is established in the framework of infinite dimensional Hilbert spaces. As an application, a split equality problem is also investigated.

引用

页码：315 / 325

页数：11

共 27 条

[1] Iterative oblique projection onto convex sets and the split feasibility problem [J].

Byrne, C .

INVERSE PROBLEMS, 2002, 18 (02) :441-453

[2] The multiple-sets split feasibility problem and its applications for inverse problems [J].

Censor, Y ;

Elfving, T ;

Kopf, N ;

Bortfeld, T .

INVERSE PROBLEMS, 2005, 21 (06) :2071-2084

[3]

Censor Y., 1994, Numer. Algorithms, V8, P221, DOI [DOI 10.1007/BF02142692, 10.1007/BF02142692]

[4] A unified approach for inversion problems in intensity-modulated radiation therapy [J].

Censor, Yair ;

Bortfeld, Thomas ;

Martin, Benjamin ;

Trofimov, Alexei .

PHYSICS IN MEDICINE AND BIOLOGY, 2006, 51 (10) :2353-2365

[5] Perturbed projections and subgradient projections for the multiple-sets split feasibility problem [J].

Censor, Yair ;

Motova, Avi ;

Segal, Alexander .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) :1244-1256

[6]

Chang SS, 2017, J NONLINEAR VAR ANAL, V1, P201

[7] STRONG CONVERGENCE ANALYSIS OF A HYBRID ALGORITHM FOR NONLINEAR OPERATORS IN A BANACH SPACE [J].

Cho, Sun Young .

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (01) :19-31

[8] Generalized mixed equilibrium and fixed point problems in a Banach space [J].

Cho, Sun Young .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03) :1083-1092

[9] Convergence analysis of an iterative algorithm for monotone operators [J].

Cho, Sun Young ;

Li, Wenling ;

Kang, Shin Min .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[10] Note on the modified relaxation CQ algorithm for the split feasibility problem [J].

Gibali, Aviv ;

Liu, Li-Wei ;

Tang, Yu-Chao .

OPTIMIZATION LETTERS, 2018, 12 (04) :817-830

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