Abstract
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.
Original language | English |
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Pages (from-to) | 431-443 |
Number of pages | 13 |
Journal | Journal of Optimization Theory and Applications |
Volume | 95 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 1997 |
Externally published | Yes |
Keywords
- Flow equilibria
- Vector optimization
- Vector variational inequalities
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics