Equivalence of variational inequality problems to unconstrained minimization

Equivalence of variational inequality problems to unconstrained minimization

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Article ID: iaor1999954
Country: Netherlands
Volume: 78
Issue: 3
Start Page Number: 347
End Page Number: 355
Publication Date: Sep 1997
Journal: Mathematical Programming
Authors:
Keywords: complementarity
Abstract:

In this paper we propose a class of merit functions for variational inequality problems (VI). Through these merit functions, the variational inequality problem is cast as unconstrained minimization problem. We estimate the growth rate of these merit functions and give conditions under which the stationary points of these functions are the solutions of VI.

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