In this note, we modify the proof of Theorem 6.1 given by Censor et al.(2011). Consequently, we extend the monotone variational inequality to pseudomonotone variational inequality.
【基金】
Supported by the National Natural Science Foundation of China(11401157);
Key Laboratory of Machine
【更新日期】
2018-07-18
【分类号】
O177.1
【正文快照】
1.IntroductionLet H be a Hilbert space and C be a nonempty,closed and convex subset of H.Thevariational inequality problem[1-3]is to find a point x*∈C such that?f(x*),x-x*?≥0,?x∈C,(1.1)where f:H→H is a given mapping.Recently,Censor et al.in[4]studied
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