On the construction of gap functions for variational inequalities via conjugate duality

On the construction of gap functions for variational inequalities via conjugate duality

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Article ID: iaor20082009
Country: Singapore
Volume: 24
Issue: 3
Start Page Number: 353
End Page Number: 371
Publication Date: Jun 2007
Journal: Asia-Pacific Journal of Operational Research
Authors: , ,
Keywords: duality
Abstract:

In this paper, we deal with the construction of gap functions for variational inequalities by using an approach which bases on the conjugate duality. Under certain assumptions we also investigate a further class of gap functions for the variational inequality problem, the so-called dual gap functions.

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