Strong convergence of a hybrid algorithm in a Banach space

被引:0
|
作者
Yuan, Qing [1 ]
Cho, Sun Young [2 ]
Qin, Xiaolong [3 ,4 ]
机构
[1] Linyi Univ, Dept Math, Linyi 276000, Peoples R China
[2] China Med Univ, Ctr Gen Educatin, Taichung, Taiwan
[3] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Sichuan, Peoples R China
[4] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
来源
关键词
Mean valued algorithm; hybrid algorithm; convergence; variational inequality; EQUILIBRIUM PROBLEMS; THEOREMS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study a hybrid algorithm for finding a common solution of a finite family of equilibrium problems which is also a common fixed point of a finite family of asymptotically quasi-phi-nonexpansive mappings in a strictly convex and uniformly smooth Banach space which also has the Kadec-Klee property. (C) 2016 All rights reserved.
引用
收藏
页码:6161 / 6169
页数:9
相关论文
共 50 条
  • [31] Strong convergence of viscosity forward-backward algorithm to the sum of two accretive operators in Banach space
    Wang, Yamin
    Wang, Fenghui
    Zhang, Haixia
    [J]. OPTIMIZATION, 2021, 70 (01) : 169 - 190
  • [32] Strong convergence of hybrid Bregman projection algorithm for split feasibility and fixed point problems in Banach spaces
    Chen, Jin-Zuo
    Hu, Hui-Ying
    Ceng, Lu-Chuan
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 192 - 204
  • [33] Hybrid algorithm for an α-nonexpansive mapping in a Banach space
    Wang, Zi-Ming
    Su, Yongfu
    Kang, Jinlong
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2012, 5 (01): : 56 - 63
  • [34] Weak and strong convergence theorems for maximal monotone operators in a Banach space
    Kamimura, S
    Kohsaka, F
    Takahashi, W
    [J]. SET-VALUED ANALYSIS, 2004, 12 (04): : 417 - 429
  • [35] Refinement of convergence rate for the strong law of large numbers in Banach space
    Li, Deli
    Spataru, Aurel
    [J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2014, 86 (06) : 882 - 888
  • [36] Weak and Strong Convergence Theorems for Maximal Monotone Operators in a Banach Space
    Shoji Kamimura
    Fumiaki Kohsaka
    Wataru Takahashi
    [J]. Set-Valued Analysis, 2004, 12 : 417 - 429
  • [37] Strong convergence theorems by the hybrid method for families of mappings in Banach spaces
    Nakajo, Kazuhide
    Shimoji, Kazuya
    Takahashi, Wataru
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) : 812 - 818
  • [38] STRONG CONVERGENCE THEOREMS BY HYBRID METHODS FOR DEMIMETRIC MAPPINGS IN BANACH SPACES
    Hojo, Mayumi
    Takahashi, Wataru
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (07) : 1333 - 1344
  • [39] STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR THE SPLIT EQUALITY PROBLEM IN BANACH SPACES
    Wang, Meiying
    Xu, Tongxin
    Shi, Luoyi
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2022, 2022
  • [40] Weak convergence of a projection algorithm for variational inequalities in a Banach space
    Iiduka, Hideaki
    Takahashi, Wataru
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 339 (01) : 668 - 679