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Merit functions for general mixed quasi-variational inequalities

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Abstract

In this paper, we present some merit functions for general mixed quasi-variational inequalities, and we obtain the equivalent optimization problems to general mixed quasi-variational inequalities. Since the general mixed quasi-variational inequalities include general variational inequalities, quasi-variational inequalities and nonlinear (implicit) complementarity problems as special cases, our results continue to hold for these problems. In this respect, results obtained in this paper represent an extension of previously known results.

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Authors and Affiliations

  1. College of Operations Research and Management Sciences, Qufu Normal University, Rizhao, Shandong, 276826, People’s Republic of China

    Lili Huan, Biao Qu & Jin-guang Jiang

Authors
  1. Lili Huan
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  2. Biao Qu
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  3. Jin-guang Jiang
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Corresponding author

Correspondence to Lili Huan.

Additional information

This research was partly supported by the National Natural Science Foundation of China (10701047), and the Grant of Qufu Normal University (xj0625).

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Huan, L., Qu, B. & Jiang, Jg. Merit functions for general mixed quasi-variational inequalities. J. Appl. Math. Comput. 33, 411–421 (2010). https://doi.org/10.1007/s12190-009-0293-y

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  • DOI: https://doi.org/10.1007/s12190-009-0293-y

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