%0 Journal Article
%T Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems
%A Yao Yonghong
%A Liou Yeong-Cheng
%A Wong Mu-Ming
%A Yao Jen-Chih
%J Fixed Point Theory and Applications
%D 2011
%I Springer
%X 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. Mathematics Subject Classification (2000): 47H05; 47H09; 47H10; 47J05; 47J25.
%K variational inequality problem
%K fixed point problems
%K monotone mapping
%K nonexpansive mapping
%K extragradient method
%K CQ method
%K projection
%U http://www.fixedpointtheoryandapplications.com/content/2011/1/53