GENERALIZED SPLIT FEASIBILITY PROBLEMS AND STRONG CONVERGENCE THEOREMS IN HILBERT SPACES

被引:0
|
作者
Hojo, Mayumi [1 ]
Plubtieng, Somyot [2 ]
Takahashi, Wataru [3 ,4 ,5 ]
机构
[1] Shibaura Inst Technol, Tokyo 1358548, Japan
[2] Naresuan Univ, Fac Sci, Dept Math, Muang 65000, Phitsanulok, Thailand
[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80702, Taiwan
[4] Keio Univ, Keio Res & Educ Ctr Nat Sci, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan
[5] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
来源
PACIFIC JOURNAL OF OPTIMIZATION | 2016年 / 12卷 / 01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; strict pseudo-contraction; NULL POINT PROBLEM; NONEXPANSIVE-MAPPINGS; EQUILIBRIUM PROBLEMS; MONOTONE MAPPINGS; FIXED-POINTS; OPERATORS; WEAK; APPROXIMATION;
D O I
暂无
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, motivated by ideas of the split feasibility problem and the split common null point problem and results for solving the problems, we consider generalized split feasibility problems and then establish two strong convergence theorems which are related to the problems. As applications, we get new strong convergence theorems which are connected with fixed point problems, generalized split feasibility problems and equilibrium problems.
引用
收藏
页码:101 / 118
页数:18
相关论文
共 50 条
  • [1] 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
  • [2] Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces
    Zi, Xuejiao
    Ma, Zhaoli
    Du, Wei-Shih
    MATHEMATICS, 2020, 8 (06)
  • [3] STRONG CONVERGENCE THEOREMS BY HYBRID METHODS FOR SPLIT FEASIBILITY PROBLEMS IN HILBERT SPACES
    Alsulami, Saud M.
    Latif, Abdul
    Takahashi, Wataru
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (12) : 2521 - 2538
  • [4] STRONG CONVERGENCE THEOREMS FOR RELAXED SPLIT FEASIBILITY PROBLEMS WITH RELATED RESULTS IN HILBERT SPACES
    Chuang, Chih-Sheng
    Hong, Chung-Chien
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (01) : 135 - 155
  • [5] Strong convergence theorems for split inclusion problems in Hilbert spaces
    Dianlu Tian
    Luoyi Shi
    Rudong Chen
    Journal of Fixed Point Theory and Applications, 2017, 19 : 1501 - 1514
  • [6] Strong convergence theorems for split inclusion problems in Hilbert spaces
    Tian, Dianlu
    Shi, Luoyi
    Chen, Rudong
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (02) : 1501 - 1514
  • [7] Strong convergence theorems for a class of split feasibility problems and fixed point problem in Hilbert spaces
    Jinhua Zhu
    Jinfang Tang
    Shih-sen Chang
    Journal of Inequalities and Applications, 2018
  • [8] Strong convergence theorems for a class of split feasibility problems and fixed point problem in Hilbert spaces
    Zhu, Jinhua
    Tang, Jinfang
    Chang, Shih-sen
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [9] Strong convergence theorems for split variational inequality problems in Hilbert spaces
    Sun, Wenlong
    Lu, Gang
    Jin, Yuanfeng
    Peng, Zufeng
    AIMS MATHEMATICS, 2023, 8 (11): : 27291 - 27308
  • [10] Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
    Yuchao Tang
    Liwei Liu
    Journal of Inequalities and Applications, 2016