On vector variational inequalities: Application to vector equilibria

Xiaoqi Yang, C. J. Goh

Research output: Journal article publicationJournal articleAcademic researchpeer-review

89 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 languageEnglish
Pages (from-to)431-443
Number of pages13
JournalJournal of Optimization Theory and Applications
Volume95
Issue number2
DOIs
Publication statusPublished - 1 Jan 1997
Externally publishedYes

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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