ON THE CONSTRUCTION OF GAP FUNCTIONS FOR VARIATIONAL INEQUALITIES VIA CONJUGATE DUALITY

Altangerel Lkhamsuren, Radu Ioan Boţ () and Gert Wanka ()
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Radu Ioan Boţ: Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany
Gert Wanka: Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany

Asia-Pacific Journal of Operational Research (APJOR), 2007, vol. 24, issue 03, 353-371

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.

Keywords: Variational inequalities; gap functions; conjugate duality; dual gap functions (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:24:y:2007:i:03:n:s0217595907001309

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DOI: 10.1142/S0217595907001309

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