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On the Existence of Solutions to Vector Quasivariational Inequalities and Quasicomplementarity Problems with Applications Break to Traffic Network Equilibria

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Abstract

For vector quasivariational inequalities involving multifunctions in topological vector spaces, an existence result is obtained without a monotonicity assumption and with a convergence assumption weaker than semicontinuity. A new type of quasivariational inequality is proposed. Applications to quasicomplementarity problems and traffic network equilibria are considered. In particular, definitions of weak and strong Wardrop equilibria are introduced for the case of multivalued cost functions.

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Authors and Affiliations

  1. Department of Mathematics and Computing Science, Vietnam National University, Vietnam

    P. Q. Khanh

  2. Department of Mathematics, University of Dalat, Vietnam

    L. M. Luu

Authors
  1. P. Q. Khanh
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  2. L. M. Luu
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Khanh, P.Q., Luu, L.M. On the Existence of Solutions to Vector Quasivariational Inequalities and Quasicomplementarity Problems with Applications Break to Traffic Network Equilibria. Journal of Optimization Theory and Applications 123, 533–548 (2004). https://doi.org/10.1007/s10957-004-5722-3

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  • DOI: https://doi.org/10.1007/s10957-004-5722-3

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