Combined Relaxation Methods for Generalized Monotone Variational Inequalities

Igor Konnov ()

A chapter in Generalized Convexity and Related Topics, 2007, pp 3-31 from Springer

Abstract: Summary 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.

Keywords: Variational inequalities; generalized monotone mappings; combined relaxation methods; convergence; classes of applications (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-37007-9_1

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DOI: 10.1007/978-3-540-37007-9_1

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