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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.
MSC:
90C29Multi-objective programming; goal programming
49J40Variational methods including variational inequalities
90C33Complementarity and equilibrium problems; variational inequalities (finite dimensions)
90B10Network models, deterministic (optimization)