A Class of Combined Iterative Methods for Solving Variational Inequalities

Igor Konnov ()

Journal of Optimization Theory and Applications, 1997, vol. 94, issue 3, No 7, 677-693

Abstract: Abstract A general approach to constructing iterative methods that solve variational inequalities is proposed. It is based on combining, modifying, and extending ideas contained in various Newton-like methods. Various algorithms can be obtained with this approach. Their convergence is proved under weak assumptions. In particular, the main mapping need not be monotone. Some rates of convergence are also given.

Keywords: Variational inequalities; Newton-like methods; nonmonotone mappings; convergence rates (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022605117998

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