On vector variational inequalities: Application to vector equilibria. (English) Zbl 0892.90158

Summary: 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.


90C29 Multi-objective and goal programming
49J40 Variational inequalities
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90B10 Deterministic network models in operations research
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