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
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
[21]   Strong Convergence of an Iterative Method for Solving Generalized Mixed Equilibrium Problems and Split Feasibility Problems [J].
Ghadampour, Mostafa ;
Soori, Ebrahim ;
Agarwal, Ravi P. ;
O'Regan, Donal .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2024, 45 (16) :813-832
[22]   Inertial relaxedCQalgorithms for solving a split feasibility problem in Hilbert spaces [J].
Sahu, D. R. ;
Cho, Y. J. ;
Dong, Q. L. ;
Kashyap, M. R. ;
Li, X. H. .
NUMERICAL ALGORITHMS, 2021, 87 (03) :1075-1095
[23]   A relaxed inertial and viscosity method for split feasibility problem and applications to image recovery [J].
Haitao Che ;
Yaru Zhuang ;
Yiju Wang ;
Haibin Chen .
Journal of Global Optimization, 2023, 87 :619-639
[24]   The General Iterative Methods for a Split Feasibility Problem and a Mixed Equilibrium Problem in a Hilbert Space [J].
Rattanaseeha, Kiattisak .
THAI JOURNAL OF MATHEMATICS, 2022, 20 (01) :487-501
[25]   Viscosity iteration methods for a split feasibility problem and a mixed equilibrium problem in a Hilbert space [J].
Deng, Bin-Chao ;
Chen, Tong ;
Dong, Qiao-Li .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[26]   ON ITERATIVE SOLUTIONS OF A SPLIT FEASIBILITY PROBLEM WITH NONEXPANSIVE MAPPINGS [J].
Di, Lan ;
Gu, Yudi ;
Yuan, George Xianzhi .
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (09) :2095-2104
[27]   Strong convergence of a self-adaptive method for the split feasibility problem [J].
Yao, Yonghong ;
Postolache, Mihai ;
Liou, Yeong-Cheng .
FIXED POINT THEORY AND APPLICATIONS, 2013,
[28]   A Levenberg-Marquardt Method for Solving the Tensor Split Feasibility Problem [J].
Jin, Yu-Xuan ;
Zhao, Jin-Ling .
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2021, 9 (04) :797-817
[29]   Modified general splitting method for the split feasibility problem [J].
Vong, Seakweng ;
Yao, Zhongsheng .
JOURNAL OF GLOBAL OPTIMIZATION, 2024, 90 (03) :711-726
[30]   Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces [J].
Xu, Hong-Kun .
INVERSE PROBLEMS, 2010, 26 (10)