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Existence Theorems of Quasivariational Inclusion Problems with Applications to Bilevel Problems and Mathematical Programs with Equilibrium Constraint

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Abstract

In this paper, we establish existence theorems of quasivariational inclusion problems; from them, we establish existence theorems of mathematical programs with quasivariational inclusion constraint, bilevel problems, mathematical programs with equilibrium constraint and semi-infinite problems.

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Authors and Affiliations

  1. Department of Mathematics, National Changhua University of Eduction, Changhua, 50058, Taiwan

    L. J. Lin & H. J. Shie

Authors
  1. L. J. Lin
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  2. H. J. Shie
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Correspondence to L. J. Lin.

Additional information

Communicated by S. Schaible.

This research was supported by the National Science Council of the Republic of China. The authors express their gradtitude to the referees for valuable suggestions.

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Lin, L.J., Shie, H.J. Existence Theorems of Quasivariational Inclusion Problems with Applications to Bilevel Problems and Mathematical Programs with Equilibrium Constraint. J Optim Theory Appl 138, 445–457 (2008). https://doi.org/10.1007/s10957-008-9385-3

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  • DOI: https://doi.org/10.1007/s10957-008-9385-3

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