Journal
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
Volume 24, Issue 5, Pages 1021-1032Publisher
YOKOHAMA PUBL
Keywords
Variational inclusion; maximal monotone; resolvent; variational inequality; pseudomonotone operator
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In this paper, a splitting method is proposed to solve a variational inclusion problem and a pseudomonotone variational inequality problem in a real Hilbert space. This method combines a forward-backward type method and a modified extragradient method with self-adaptive techniques. It is proven that the sequence generated by the splitting method strongly converges to a common solution of the variational inclusion and the pseudomonotone variational inequality.
In this paper, we present a splitting method for solving a variational inclusion problem and a pseudomonotone variational inequality problem in a real Hilbert space. This method consists of forward-backward type method and modified extragradient method with self-adaptive techniques. We show that the sequence generated by the splitting method strongly converges to a com-mon solution of the variational inclusion and the pseudomonotone variational inequality.
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