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On Vector Variational Inequalities: Application to Vector Equilibria

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Abstract

We motivate the study of a vector variational inequality by a practical flow equilibrium problem on a network, namely a generalization of the well-known Wardrop equilibrium principle. Both weak and strong forms of the vector variational inequality are discussed and their relationships to a vector optimization problem are established under various convexity assumptions.

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Authors and Affiliations

  1. Department of Mathematics, University of Western Australia, Nedlands, Western Australia, Australia

    X. Q. Yang (Research Fellow)

  2. Department of Mathematics, University of Western Australia, Nedlands, Western Australia, Australia

    C. J. Goh (Associate Professor)

Authors
  1. X. Q. Yang
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  2. C. J. Goh
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Yang, X.Q., Goh, C.J. On Vector Variational Inequalities: Application to Vector Equilibria. Journal of Optimization Theory and Applications 95, 431–443 (1997). https://doi.org/10.1023/A:1022647607947

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  • DOI: https://doi.org/10.1023/A:1022647607947

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