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A vector network equilibrium problem with a unilateral constraint

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  • We formulate a network equilibrium model with a unilateral constraint based on Wardrop's principle and establish that the model is equivalent to a quasi-variational inequality. For the case with vector cost functions, we use Gerstewitz's function to derive two equivalence relations between the vector network equilibrium model with a unilateral constraint and quasi-variational inequalities without any convexity assumptions.
    Mathematics Subject Classification: Primary: 90C29, 90C35; Secondary: 90B06, 90B10.

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