On vector variational inequalities: Application to vector equilibria

Xiaoqi Yang; C. J. Goh

doi:10.1023/A:1022647607947

On vector variational inequalities: Application to vector equilibria

Xiaoqi Yang, C. J. Goh

Research output: Journal article publication › Journal article › Academic research › peer-review

95 Citations (Scopus)

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
Pages (from-to)	431-443
Number of pages	13
Journal	Journal of Optimization Theory and Applications
Volume	95
Issue number	2
DOIs	https://doi.org/10.1023/A:1022647607947
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

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10.1023/A:1022647607947

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On vector variational inequalities: Application to vector equilibria

Abstract

Keywords

ASJC Scopus subject areas

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