A VISCOSITY ITERATIVE METHOD FOR A SPLIT FEASIBILITY PROBLEM

被引：1
作者：
Qin, Xiaolong [1 ]
Yao, Jen-Chih [2 ]
机构：
[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming, Yunnan, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2019年 / 20卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Split feasibility problem; nonexpansive mapping; fixed point; iterative method; VARIATIONAL-INEQUALITIES; FINITE FAMILY; FIXED-POINTS; ZERO-POINT; MAPPINGS; APPROXIMATION; CONVERGENCE; PROJECTION; OPERATORS; SETS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, fixed points of a nonexpansive mapping and solutions of a split feasibility problem are investigated. A strong convergence theorem of common solutions is established in the framework of infinite-dimensional Hilbert spaces. As an application, a split equality problem is also investigated.
引用
收藏
页码：1497 / 1506
页数：10
相关论文
共 50 条
[31]   Iterative algorithms for the multiple-sets split feasibility problem in Hilbert spaces [J].
Nguyen Buong .
NUMERICAL ALGORITHMS, 2017, 76 (03) :783-798
[32]   Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces [J].
Suantai, Suthep ;
Witthayarat, Uamporn ;
Shehu, Yekini ;
Cholamjiak, Prasit .
OPTIMIZATION, 2019, 68 (05) :955-980
[33]   Viscosity approximation method for split best proximity point and monotone variational inclusion problem [J].
Husain, Shamshad ;
Asad, Mohd .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (09) :1941-1954
[34]   Iterative Regularization Methods for the Multiple-Sets Split Feasibility Problem in Hilbert Spaces [J].
Nguyen Buong ;
Pham Thi Thu Hoai ;
Khuat Thi Binh .
ACTA APPLICANDAE MATHEMATICAE, 2020, 165 (01) :183-197
[35]   Composite projection algorithms for the split feasibility problem [J].
Yao, Yonghong ;
Yang, Pei-Xia ;
Kang, Shin Min .
MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (3-4) :693-700
[36]   AN UNCONSTRAINED OPTIMIZATION APPROACH TO THE SPLIT FEASIBILITY PROBLEM [J].
Xu, Hong-Kun ;
Alghamdi, Maryam A. ;
Shahzad, Naseer .
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (10) :1891-1899
[37]   A Strongly Convergent Method for the Split Feasibility Problem [J].
Yao, Yonghong ;
Liou, Yeong-Cheng ;
Shahzad, Naseer .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[38]   Modified Hybrid Steepest Method for the Split Feasibility Problem in Image Recovery of Inverse Problems [J].
Sitthithakerngkiet, Kanokwan ;
Deepho, Jitsupa ;
Kumam, Poom .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (04) :507-522
[39]   An iterative method for split variational inclusion problem and fixed point problem for a nonexpansive mapping [J].
Kazmi, K. R. ;
Rizvi, S. H. .
OPTIMIZATION LETTERS, 2014, 8 (03) :1113-1124
[40]   Iterative Approximation of Solution of Split Variational Inclusion Problem [J].
Ezeora, Jeremiah Nkwegu ;
Izuchukwu, Chinedu .
FILOMAT, 2018, 32 (08) :2921-2932
12345