FIXED POINT ALGORITHMS FOR SPLIT FEASIBILITY PROBLEMS

被引:8
作者
Al-Mazrooei, A. E. [1 ]
Latif, A. [2 ]
Qin, X. [3 ]
Yao, J. C. [4 ]
机构
[1] Univ Jeddah, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia
[2] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
[3] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Sichuan, Peoples R China
[4] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
来源
FIXED POINT THEORY | 2019年 / 20卷 / 01期
关键词
Hilbert space; monotone mapping; nonexpansive mapping; split feasibility problem; weak convergence; STRONG-CONVERGENCE; WEAK-CONVERGENCE; NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHMS; NONLINEAR OPERATORS; THEOREMS;
D O I
10.24193/fpt-ro.2019.1.16
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of the paper is to investigate a split feasibility problem based on a fixed point algorithm. A weak 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
收藏
页码:245 / 254
页数:10
相关论文
共 25 条
[1]   SPLIT FEASIBILITY AND FIXED POINT PROBLEMS FOR ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIVE MAPPINGS IN INTERMEDIATE SENSE [J].
Ansari, Qamrul Hasan ;
Rehan, Aisha ;
Yao, Jen-Chih .
FIXED POINT THEORY, 2017, 18 (01) :57-68
[2]  
Bin Dehaish BA, 2015, J NONLINEAR CONVEX A, V16, P1321
[3]   A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces [J].
Bin Dehaish, Buthinah A. ;
Latif, Abdul ;
Bakodah, Huda O. ;
Qin, Xiaolong .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[6]   A unified treatment of some iterative algorithms in signal processing and image reconstruction [J].
Byrne, C .
INVERSE PROBLEMS, 2004, 20 (01) :103-120
[7]   Mann type iterative methods for finding a common solution of split feasibility and fixed point problems [J].
Ceng, Lu-Chuan ;
Ansari, Qamrul Hasan ;
Yao, Jen-Chih .
POSITIVITY, 2012, 16 (03) :471-495
[8]  
Censor Y., 1994, Numer Algorithms, V8, P221, DOI [DOI 10.1007/BF02142692, 10.1007/BF02142692]
[9]   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
[10]  
Chang SS, 2017, J NONLINEAR VAR ANAL, V1, P201