A class of projection and contraction methods for monotone variational inequalities |
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Authors: | Bingsheng He |
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Affiliation: | 1. Department of Mathematics, Nanjing University, 210008, Nanjing, People’s Republic of China
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Abstract: | In this paper we introduce a new class of iterative methods for solving the monotone variational inequalities $$u* in Omega , (u - u*)^T F(u*) geqslant 0, forall u in Omega .$$ Each iteration of the methods presented consists essentially only of the computation ofF(u), a projection to Ω,v:=P Ω[u-F(u)], and the mappingF(v). The distance of the iterates to the solution set monotonically converges to zero. Both the methods and the convergence proof are quite simple. |
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