New iterative algorithms for solving a class of split common solution problems and their applications

被引:6
作者
Reich, Simeon [1 ]
Tuyen, Truong Minh [2 ]
Trang, Nguyen Thi [3 ]
机构
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
[2] Thai Nguyen Univ Sci, Dept Math & Informat, Thai Nguyen, Vietnam
[3] Hanoi Univ Nat Resources & Environm, Basic Sci Fac, Hanoi, Vietnam
基金
以色列科学基金会;
关键词
Iterative algorithm; algorithm Hilbert space; Metric projection; Proximal point algorithm; STRONG-CONVERGENCE; FIXED-POINTS;
D O I
10.1016/j.cam.2023.115637
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to introduce new iterative algorithms for approximating a solution to a class of monotone operator equations. More precisely, we study the split common solution problem with multiple output sets for monotone operator equations in Hilbert spaces. In order to solve this problem, we propose three new algorithms and establish strong convergence theorems for them.
引用
收藏
页数:10
相关论文
共 21 条
[1]  
Bauschke HH, 2011, CMS BOOKS MATH, P1, DOI 10.1007/978-1-4419-9467-7
[3]   A unified treatment of some iterative algorithms in signal processing and image reconstruction [J].
Byrne, C .
INVERSE PROBLEMS, 2004, 20 (01) :103-120
[4]  
Censor Y., 1994, Numer Algorithms, V8, P221, DOI [10.1007/BF02142692, DOI 10.1007/BF02142692]
[5]   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
[6]  
Goebel K., 1984, Uniform convexity, hyperbolic geometry, and nonexpansive mappings
[7]   FIXED POINTS OF NONEXPANDING MAPS [J].
HALPERN, B .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (06) :957-&
[8]   Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces [J].
Kim, Jong Kyu ;
Truong Minh Tuyen ;
Mai Thi Ngoc Ha .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, 42 (08) :973-988
[9]   Viscosity approximation methods for fixed-points problems [J].
Moudafi, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 241 (01) :46-55
[10]   The Generalized Fermat-Torricelli Problem in Hilbert Spaces [J].
Reich, Simeon ;
Truong Minh Tuyen .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2023, 196 (01) :78-97