Weak convergence theorems for common solutions of a system of equilibrium problems and operator equations involving nonexpansive mappings

被引:0
|
作者
Cheng, Peng [1 ]
Zhang, Anshen [1 ]
机构
[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China
关键词
equilibrium problem; monotone mapping; nonexpansive mapping; projection; variational inequality; FIXED-POINT PROBLEMS; NONLINEAR VARIATIONAL-INEQUALITIES; GENERALIZED EQUILIBRIUM; PROJECTION METHODS; HILBERT-SPACES; EXISTENCE; APPROXIMATION;
D O I
10.1186/1029-242X-2013-87
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a monotone variational inequality, a system of equilibrium problems, and nonexpansive mappings are investigated based on an iterative algorithm. Weak convergence theorems of common solutions are established in Hilbert spaces. AMS Subject Classification: 47H05, 47H09, 47J25.
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页数:13
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