On variational inequality, fixed point and generalized mixed equilibrium problems

被引:0
作者
Dong Feng Li
Juan Zhao
机构
[1] North China University of Water Resources and Electric Power,School of Information Engineering
[2] North China University of Water Resources and Electric Power,School of Mathematics and Information Science
来源
Journal of Inequalities and Applications | / 2014卷
关键词
fixed point; equilibrium problem; monotone mapping; nonexpansive mapping; projection;
D O I
暂无
中图分类号
学科分类号
摘要
In this article, variational inequality, fixed point, and generalized mixed equilibrium problems are investigated based on an extragradient iterative algorithm. Weak convergence of the extragradient iterative algorithm is obtained in Hilbert spaces.
引用
收藏
相关论文
共 50 条
[31]   Monotone variational inequalities, generalized equilibrium problems and fixed point methods [J].
Wang, Shenghua .
FIXED POINT THEORY AND APPLICATIONS, 2014,
[32]   On a finite family of variational inclusions with the constraints of generalized mixed equilibrium and fixed point problems [J].
Lu-Chuan Ceng ;
Chi-Ming Chen ;
Chin-Tzong Pang .
Journal of Inequalities and Applications, 2014
[33]   On a finite family of variational inclusions with the constraints of generalized mixed equilibrium and fixed point problems [J].
Ceng, Lu-Chuan ;
Chen, Chi-Ming ;
Pang, Chin-Tzong .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[34]   Generalized hybrid algorithms for fixed point and mixed equilibrium problems in Banach spaces [J].
Luo, Yinglin ;
Su, Yongfu ;
Gao, Wenbiao .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (12) :6312-6322
[35]   A convergence theorem for a common solution of f-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces [J].
Zegeye, Solomon Bekele ;
Zegeye, Habtu ;
Sangago, Mengistu Goa ;
Boikanyo, Oganeditse A. .
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02) :1069-1087
[36]   GENERALIZED MIXED EQUILIBRIA, VARIATIONAL INEQUALITIES AND COMMON FIXED POINT PROBLEMS [J].
Ceng, Lu-Chuan ;
Chen, Chi-Ming ;
Wen, Ching-Feng .
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (12) :2365-2400
[37]   Fixed Point Theory for Nonlinear Mappings, Generalized Equilibrium Problems and Variational Inequality Problems by Using Hybrid Method [J].
Chaloemyotphong, Bunyawee ;
Kangtunyakarn, Atid .
THAI JOURNAL OF MATHEMATICS, 2018, 16 :184-202
[38]   Strong convergence theorems for a generalized mixed equilibrium problem and variational inequality problems [J].
Jeong, Jae Ug .
FIXED POINT THEORY AND APPLICATIONS, 2013,
[39]   Strong convergence theorems for a generalized mixed equilibrium problem and variational inequality problems [J].
Jae Ug Jeong .
Fixed Point Theory and Applications, 2013
[40]   A New General Iterative Methods for Solving the Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems of Nonexpansive Mappings [J].
Thailert, Ekkarath ;
Wangkeeree, Rabian ;
Preechasilp, Pakkapon .
THAI JOURNAL OF MATHEMATICS, 2016, 14 (01) :53-67