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Zbl 0892.90158
Yang, X.Q.; Goh, C.J.
On vector variational inequalities: Application to vector equilibria. (English)
[J] J. Optimization Theory Appl. 95, No.2, 431-443 (1997). ISSN 0022-3239; ISSN 1573-2878/e

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 2000:: *90C29 Multi-objective programming, etc.
49J40 Variational methods including variational inequalities
90C33 Complementarity problems
90B10 Flows in networks

Keywords: vector variational inequalities; vector optimization; flow equilibria

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Zentralblatt MATH Berlin [Germany]