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On The Construction Of Gap Functions For Variational Inequalities Via Conjugate Duality

Author

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  • LKHAMSUREN ALTANGEREL

    (Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany)

  • 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)

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.

Suggested Citation

  • Lkhamsuren Altangerel & Radu Ioan Boţ & Gert Wanka, 2007. "On The Construction Of Gap Functions For Variational Inequalities Via Conjugate Duality," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 353-371.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:03:n:s0217595907001309
    DOI: 10.1142/S0217595907001309
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    Cited by:

    1. Massimo Pappalardo & Giandomenico Mastroeni & Mauro Passacantando, 2016. "Merit functions: a bridge between optimization and equilibria," Annals of Operations Research, Springer, vol. 240(1), pages 271-299, May.

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