Hybrid extragradient method for generalized mixed equilibrium problems and fixed point problems in Hilbert space

被引：5
|
作者：
Li, Suhong [1 ,2 ]
Li, Lihua [1 ]
Cao, Lijun [1 ]
He, Xiujuan [3 ]
Yue, Xiaoyun [1 ]
机构：
[1] Hebei Normal Univ Sci & Technol, Coll Math & Informat Technol, Qinhuangdao 066004, Peoples R China
[2] Hebei Normal Univ Sci & Technol, Inst Math & Syst Sci, Qinhuangdao 066004, Peoples R China
[3] Hebei Business & Trade Sch, Shijiazhuang 050000, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
generalized mixed equilibrium problem; extragradient method; nonexpansive mapping; variational inequality; strong convergence theorem;
D O I：
10.1186/1687-1812-2013-240
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce iterative schemes based on the extragradient method for finding a common element of the set of solutions of a generalized mixed equilibrium problem and the set of fixed points of a nonexpansive mapping, and the set of solutions of a variational inequality problem for inverse strongly monotone mapping. We obtain some strong convergence theorems for the sequences generated by these processes in Hilbert spaces. The results in this paper generalize, extend and unify some well-known convergence theorems in literature.
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页数：13
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