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 50 条
  • [31] A shrinking projection algorithm for proximal split feasibility and fixed point problems
    Chen J.
    Applied Set-Valued Analysis and Optimization, 2020, 2 (02): : 255 - 270
  • [32] A NEW EXTRAGRADIENT METHOD FOR EQUILIBRIUM, SPLIT FEASIBILITY AND FIXED POINT PROBLEMS
    Yazdi, Maryam
    Sababe, Saeed Hashemi
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (04) : 759 - 773
  • [33] The Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems
    Ceng, Lu-Chuan
    Gupta, Himanshu
    Wen, Ching-Feng
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [34] Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems
    Filali, Doaa
    Dilshad, Mohammad
    Alyasi, Lujain Saud Muaydhid
    Akram, Mohammad
    AXIOMS, 2023, 12 (09)
  • [35] Two Iterative Algorithms for Solving the Split Common Fixed Point Problems
    Wu, Dingping
    Postolache, Mihai
    FILOMAT, 2020, 34 (13) : 4375 - 4386
  • [36] ANALYSIS OF ALGORITHMS FOR SOLVING VARIATIONAL INCLUSIONS AND SPLIT FIXED POINT PROBLEMS
    Yu, Youli
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (01) : 87 - 96
  • [37] Split Algorithms for New Implicit Feasibility Null-Point Problems
    Moudafi, Abdellatif
    Noor, Muhammad Aslam
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (05): : 2113 - 2118
  • [38] Inertial Proximal Point Algorithms for Solving a Class of Split Feasibility Problems
    Simeon Reich
    Truong Minh Tuyen
    Phan Thi Van Huyen
    Journal of Optimization Theory and Applications, 2024, 200 : 951 - 977
  • [39] Inertial Proximal Point Algorithms for Solving a Class of Split Feasibility Problems
    Reich, Simeon
    Tuyen, Truong Minh
    Van Huyen, Phan Thi
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2024, 200 (03) : 951 - 977
  • [40] Iterative Methods for Solving Split Feasibility Problems and Fixed Point Problems in Banach Spaces
    Liu, Min
    Chang, Shih-sen
    Zuo, Ping
    Li, Xiaorong
    FILOMAT, 2019, 33 (16) : 5345 - 5353