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

Yang, X. Q.; Goh, C. J.

J. Optimization Theory Appl. 95, No. 2, 431-443 (1997).

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:

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

Keywords:

vector variational inequalities; vector optimization; flow equilibria

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