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Yao, Yonghong; Liou, Yeong-Cheng; Kang, Shin Min; Yu, Youli
Nonlinear analysis, 12/2011, Volume: 74, Issue: 17Journal Article
In this paper, a general system of nonlinear variational inequality problem in Banach spaces was considered, which includes some existing problems as special cases. For solving this nonlinear variational inequality problem, we construct two methods which were inspired and motivated by Korpelevich’s extragradient method. Furthermore, we prove that the suggested algorithms converge strongly to some solutions of the studied variational inequality.
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