Journal
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Volume 30, Issue 1-2, Pages 23-36Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01630560902735223
Keywords
Armijo-type search; Korpelevich's method; Maximal monotone operators; Monotone variational inequalities; Projection method; Strong convergence
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Funding
- CNPq [301280-86]
- TWAS
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We introduce a two-step direct method, like Korpelevich's, for solving monotone variational inequalities. The advantage of our method over that one is that ours converges strongly in Hilbert spaces, whereas only weak convergence has been proved for Korpelevich's algorithm. Our method also has the following desirable property: the sequence converges to the solution of the problem that lies closest to the initial iterate.
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