Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems

被引：0
作者：
Yonghong Yao
Yeong-Cheng Liou
Mu-Ming Wong
Jen-Chih Yao
机构：
[1] Tianjin Polytechnic University,Department of Mathematics
[2] Cheng Shiu University,Department of Information Management
[3] Chung Yuan Christian University,Department of Applied Mathematics
[4] Kaohsiung Medical University,Center for General Education
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
variational inequality problem; fixed point problems; monotone mapping; nonexpansive mapping; extragradient method; method; projection;
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摘要：
In this paper, we suggest a hybrid method for finding a common element of the set of solution of a monotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings. The proposed iterative method combines two well-known methods: extragradient method and CQ method. Under some mild conditions, we prove the strong convergence of the sequences generated by the proposed method.
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