The paper is devoted to the combined relaxation approach to constructing solution methods for variational inequalities. We describe the basic idea of this approach and implementable methods both for single-valued and for multi-valued problems. All the combined relaxation methods are convergent under very mild assumptions. This is the case if there exists a solution to the dual formulation of the variational inequality problem. In general, these methods attain a linear rate of convergence. Several classes of applications are also described. © 2006 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Konnov, I. V. (2007). Combined relaxation methods for generalized monotone variational inequalities. In Lecture Notes in Economics and Mathematical Systems (Vol. 583, pp. 3–31). https://doi.org/10.1007/978-3-540-37007-9_1
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