Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems with Applications

被引:0
|
作者
Hao, Yan [1 ]
Cho, Sun Young [2 ]
Qin, Xiaolong [3 ]
机构
[1] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Peoples R China
[2] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[3] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
RELATIVELY NONEXPANSIVE-MAPPINGS; STRICT PSEUDO-CONTRACTIONS; MONOTONE MAPPINGS; BANACH-SPACES; VARIATIONAL INEQUALITY; ITERATIVE METHOD; HILBERT-SPACES; NONLINEAR MAPPINGS; WEAK;
D O I
10.1155/2010/189036
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this work is to introduce an iterative method for finding a common element of a solution set of a generalized equilibrium problem, of a solution set solutions of a variational inequality problem and of a fixed point set of a strict pseudocontraction. Strong convergence theorems are established in the framework of Hilbert spaces.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] Convergence theorems on generalized equilibrium problems and fixed point problems with applications
    Qin, Xiaolong
    Kang, Shin Min
    Cho, Yeol Je
    [J]. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2009, 58 (03) : 170 - 183
  • [2] Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems with Applications
    Yan Hao
    SunYoung Cho
    Xiaolong Qin
    [J]. Journal of Inequalities and Applications, 2010
  • [3] STRONG CONVERGENCE THEOREMS FOR FIXED POINT PROBLEMS AND EQUILIBRIUM PROBLEMS WITH APPLICATIONS
    Wu, Huan-chun
    Cheng, Cao-zong
    Han, Wen-jing
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, (33): : 161 - 174
  • [4] CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
    Yao, Yonghong
    Liou, Yeong-Cheng
    Lee, Chinsan
    Wong, Mu-Ming
    [J]. FIXED POINT THEORY, 2009, 10 (02): : 347 - 363
  • [5] Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems
    Cho, Yeol Je
    Qin, Xiaolong
    Kang, Jung Im
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 4203 - 4214
  • [6] Convergence Theorems for Equilibrium and Fixed Point Problems
    Yekini Shehu
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 133 - 153
  • [7] Convergence Theorems for Equilibrium and Fixed Point Problems
    Shehu, Yekini
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (01) : 133 - 153
  • [8] Existence and Convergence Theorems for Equilibrium Problems and Fixed Point Problems
    Haddadi, Mohammad Reza
    Dehghanian, Mehdi
    [J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2018, 42 (04) : 559 - 568
  • [9] Convergence theorems of common elements for equilibrium problems and fixed point problems
    Li Juan Zhang
    Hui Tong
    [J]. Acta Mathematica Sinica, English Series, 2012, 28 : 631 - 636
  • [10] Convergence theorems of common elements for equilibrium problems and fixed point problems
    Zhang, Li Juan
    Tong, Hui
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (03) : 631 - 636