Global bounds for the distance to solutions of co-coercive variational inequalities

Global bounds for the distance to solutions of co-coercive variational inequalities

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Article ID: iaor20082767
Country: Netherlands
Volume: 35
Issue: 3
Start Page Number: 409
End Page Number: 415
Publication Date: May 2007
Journal: Operations Research Letters
Authors: ,
Abstract:

We establish two global bounds measuring the distance from any vector to the solution set of the co-coercive variational inequality. To prove our results, we use the fact that the co-coercivity condition is sufficient for the (strong) monotonicity of (perturbed) fixed point and normal maps associated with variational inequalities.

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