A hybrid method without extrapolation step for solving variational inequality problems

Yu. Malitsky () and V. Semenov ()

Journal of Global Optimization, 2015, vol. 61, issue 1, 193-202

Abstract: In this paper, we introduce a new method for solving variational inequality problems with monotone and Lipschitz-continuous mapping in Hilbert space. The iterative process is based on well-known projection method and the hybrid (or outer approximation) method. However we do not use an extrapolation step in the projection method. The absence of one projection in our method is explained by slightly different choice of sets in the hybrid method. We prove a strong convergence of the sequences generated by our method. Copyright Springer Science+Business Media New York 2015

Keywords: Variational inequality; Monotone mapping; Hybrid method; Projection method; Strong convergence; 47J20 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10898-014-0150-x

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