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
[41]   Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems [J].
Ge, Ci-Shui ;
Yu, Neng-Fu ;
Zhao, Lin .
FIXED POINT THEORY AND APPLICATIONS, 2013,
[42]   Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems [J].
Ci-Shui Ge ;
Neng-Fu Yu ;
Lin Zhao .
Fixed Point Theory and Applications, 2013
[43]   SHRINKING PROJECTION METHOD FOR A FINITE FAMILY OF SPLIT GENERALIZED EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS [J].
Cheng, Qingqing ;
Su, Yongfu .
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (11) :2387-2401
[44]   Generalized viscosity approximation methods for mixed equilibrium problems and fixed point problems [J].
Jeong, Jae Ug .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 283 :168-180
[45]   General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems [J].
Xiao-Jie Wang ;
Lu-Chuan Ceng ;
Hui-Ying Hu ;
Shi-Xiu Li .
Fixed Point Theory and Applications, 2014
[46]   General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems [J].
Wang, Xiao-Jie ;
Ceng, Lu-Chuan ;
Hu, Hui-Ying ;
Li, Shi-Xiu .
FIXED POINT THEORY AND APPLICATIONS, 2014,
[47]   A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces [J].
Prasit Cholamjiak .
Fixed Point Theory and Applications, 2009
[48]   A New Approximation Method for Equilibrium, Variational Inequality and Fixed Point Problems [J].
Sanni, Smaila S. ;
Ukaegbu, Eugene C. ;
Shehu, Yekini .
THAI JOURNAL OF MATHEMATICS, 2011, 9 (03) :531-552
[49]   A COMPOSITE ITERATIVE METHOD FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS [J].
Jitpeera, Thanyarat ;
Kumam, Poom .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (02) :345-361
[50]   Weak Convergence Theorem by an Extragradient Method for Variational Inequality, Equilibrium and Fixed Point Problems [J].
Jaiboon, C. ;
Kumam, P. ;
Humphries, U. W. .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2009, 32 (02) :173-185
12345