A KM-BASED ITERATION FOR A SPLIT FEASIBILITY PROBLEM IN HILBERT SPACES

被引:0
作者
Cho, Sun young [1 ]
Shang, Meijuan [2 ]
机构
[1] Gyeongsang Natl Univ, Dept Human Hlth Care, Jinju, South Korea
[2] Shijiazhuang Univ, Sch Math, Shijiazhuang, Peoples R China
来源
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2024年 / 2024卷
关键词
Common fixed point; Monotone operators; Split feasibility problem; Weak convergence; NONEXPANSIVE-MAPPINGS; CONVERGENCE; SETS; THEOREMS;
D O I
10.23952/jnfa.2024.31
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate a split feasibility problem from the prospective of fixed points. We introduce a KM-based iteration and investigate its convergence. We obtain a weakly convergent theorem of common solutions to the split feasibility problem and a common fixed point problem of an infinite family of nonexpansive mappings in the framework of Hilbert spaces.
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页数:8
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共 22 条
[3]   COMMON FIXED-POINT THEOREM FOR A COMMUTING FAMILY OF NONEXPANSIVE MAPPINGS [J].
BRUCK, RE .
PACIFIC JOURNAL OF MATHEMATICS, 1974, 53 (01) :59-71
[5]   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
[6]  
Censor Y., 1994, Numer Algorithms, V8, P221, DOI [10.1007/BF02142692, DOI 10.1007/BF02142692]
[7]   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
[8]   A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization [J].
Chang, Shih-sen ;
Lee, H. W. Joseph ;
Chan, Chi Kin .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) :3307-3319
[9]   An alternated inertial general splitting method with linearization for the split feasibility problem [J].
Dong, Qiao-Li ;
Liu, Lulu ;
Qin, Xiaolong ;
Yao, Jen-Chih .
OPTIMIZATION, 2023, 72 (10) :2585-2607
[10]   MULTIPLE-SETS SPLIT QUASI-CONVEX FEASIBILITY PROBLEMS: ADAPTIVE SUBGRADIENT METHODS WITH CONVERGENCE GUARANTEE [J].
Hu, Yaohua ;
Li, Gang ;
Li, Minghua ;
Yu, Carisa Kwok Wai .
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, 6 (02) :15-33