Generalized hybrid algorithms for fixed point and mixed equilibrium problems in Banach spaces

被引:0
|
作者
Luo, Yinglin [1 ]
Su, Yongfu [1 ]
Gao, Wenbiao [1 ]
机构
[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China
来源
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 12期
关键词
Hybrid projection algorithm; monotone mapping; equilibrium problem; variational inequality; quasi-nonexpansive mapping; fixed point; CONVERGENCE THEOREMS; WEAK;
D O I
暂无
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 and investigate a more generalized hybrid shrinking projection algorithm for finding a common solution for a system of generalized mixed equilibrium problems. A accelerated strong convergence theorem of common solutions is established in the framework of a non-uniformly convex Banach space. These new results improve and extend the previously known ones in the literature. (C) 2016 All rights reserved.
引用
收藏
页码:6312 / 6322
页数:11
相关论文
共 50 条
  • [1] A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces
    Petrot, Narin
    Wattanawitoon, Kriengsak
    Kumam, Poom
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (04) : 631 - 643
  • [2] Generalized mixed equilibrium and fixed point problems in a Banach space
    Cho, Sun Young
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1083 - 1092
  • [3] Two new algorithms to solve the system of generalized mixed equilibrium and fixed point problems in Banach spaces
    Nguyen, Song Ha
    Truong, Minh Tuyen
    JOURNAL OF ANALYSIS, 2023, 31 (04): : 2649 - 2673
  • [4] New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces
    Chen, Minjiang
    Song, Jianmin
    Wang, Shenghua
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [5] Extragradient Algorithms for Variational Inequality, Fixed Point and Generalized Mixed Equilibrium Problems
    Guo, Baohua
    Sun, Lijuan
    FILOMAT, 2015, 29 (05) : 1021 - 1030
  • [6] Strong convergence of hybrid algorithms for fixed point and bifunction equilibrium problems in reflexive Banach spaces
    Zhang, Lingmin
    Li, Xinbin
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1323 - 1333
  • [7] Hybrid Iterative Method for Solving a System of Generalized Equilibrium Problems, Generalized Mixed Equilibrium Problems and Common Fixed Point Problems in Hilbert Spaces
    Rodjanadid, Benjawan
    THAI JOURNAL OF MATHEMATICS, 2015, 13 (03): : 737 - 763
  • [8] HYBRID INERTIAL ALGORITHM FOR FIXED POINT AND EQUILIBRIUM PROBLEMS IN REFLEXIVE BANACH SPACES
    Ali, Bashir
    Haruna, Lawal Yusuf
    Ibrahim, Yusuf
    FIXED POINT THEORY, 2022, 23 (02): : 429 - 446
  • [9] Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces
    Khan, Muhammad Aqeel Ahmad
    Fukhar-ud-din, Hafiz
    Khan, Abdul Rahim
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [10] A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces
    Prasit Cholamjiak
    Fixed Point Theory and Applications, 2009