Strongly Convergent Iterative Methods for Generalized Split Feasibility Problems in Hilbert Spaces

被引：0
|
作者：
Akashi, Shigeo [1 ]
Kimura, Yasunori [2 ]
Takahashi, Wataru [3 ,4 ,5 ]
机构：
[1] Tokyo Univ Sci, Dept Informat Sci, Fac Sci & Technol, 2641 Yamazaki, Noda, Chiba 2788510, Japan
[2] Toho Univ, Dept Informat Sci, Chiba 2748510, Japan
[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80702, Taiwan
[4] Keio Univ, Keio Res & Educ Ctr Nat Sci, Tokyo 108, Japan
[5] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
来源：
JOURNAL OF CONVEX ANALYSIS | 2015年 / 22卷 / 04期
基金：
日本学术振兴会;
关键词：
Maximal monotone operator; inverse-strongly monotone mapping; fixed point; strong convergence theorem; equilibrium problem; split feasibility problem; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; APPROXIMATION; THEOREMS; ALGORITHM;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, motivated by the idea of the split feasibility problem and results for solving the problem, we consider generalized split feasibility problems and then establish two Halpern type strong convergence theorems which are related to the problems. Furthermore, we prove strong convergence of an iterative scheme generated by the shrinking projection method. As applications, we get new and well-known strong convergence theorems which are connected with fixed point problem, split feasibility problem and equilibrium problem.
引用
收藏
页码：917 / 938
页数：22
相关论文
共 50 条
  • [1] Iterative Methods for Generalized Split Feasibility Problems in Hilbert Spaces
    Takahashi, Wataru
    Xu, Hong-Kun
    Yao, Jen-Chin
    SET-VALUED AND VARIATIONAL ANALYSIS, 2015, 23 (02) : 205 - 221
  • [2] Iterative Methods for Generalized Split Feasibility Problems in Hilbert Spaces
    Wataru Takahashi
    Hong-Kun Xu
    Jen-Chin Yao
    Set-Valued and Variational Analysis, 2015, 23 : 205 - 221
  • [3] FURTHER CONVERGENCE ANALYSIS OF ITERATIVE METHODS FOR GENERALIZED SPLIT FEASIBILITY PROBLEMS IN HILBERT SPACES
    Li, Lulu
    Xu, Hong-Kun
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (12) : 2575 - 2589
  • [4] Generalized extragradient iterative methods for solving split feasibility and fixed point problems in Hilbert spaces
    P. Chuasuk
    A. Kaewcharoen
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
  • [5] Generalized extragradient iterative methods for solving split feasibility and fixed point problems in Hilbert spaces
    Chuasuk, P.
    Kaewcharoen, A.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 114 (01)
  • [6] Iterative methods for generalized split feasibility problems in Banach spaces
    Ansari, Qamrul Hasan
    Rehan, Aisha
    CARPATHIAN JOURNAL OF MATHEMATICS, 2017, 33 (01) : 9 - 26
  • [7] STRONGLY CONVERGENT ITERATIVE METHODS FOR SPLIT EQUALITY VARIATIONAL INCLUSION PROBLEMS IN BANACH SPACES
    Chang, Shih-sen
    Wang, Lin
    Qin, Lijuan
    Ma, Zhaoli
    ACTA MATHEMATICA SCIENTIA, 2016, 36 (06) : 1641 - 1650
  • [8] Application of new strongly convergent iterative methods to split equality problems
    Gautam, Pankaj
    Dixit, Avinash
    Sahu, D. R.
    Som, T.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03):
  • [9] Application of new strongly convergent iterative methods to split equality problems
    Pankaj Gautam
    Avinash Dixit
    D. R. Sahu
    T. Som
    Computational and Applied Mathematics, 2020, 39
  • [10] STRONG CONVERGENCE THEOREMS BY SHRINKING PROJECTION METHODS FOR GENERALIZED SPLIT FEASIBILITY PROBLEMS IN HILBERT SPACES
    Komiya, Hidetoshi
    Takahashi, Wataru
    PACIFIC JOURNAL OF OPTIMIZATION, 2016, 12 (01): : 1 - 17
12345