Journal of Global Optimization

, Volume 37, Issue 4, pp 647–660

Vector equilibrium problems with elastic demands and capacity constraints

Original Article

DOI: 10.1007/s10898-006-9078-0

Cite this article as:
Li, S.J., Teo, K.L. & Yang, X.Q. J Glob Optim (2007) 37: 647. doi:10.1007/s10898-006-9078-0

Abstract

In this paper, a (weak) vector equilibrium principle for vector network problems with capacity constraints and elastic demands is introduced. A sufficient condition for a (weak) vector equilibrium flow to be a solution for a system of (weak) vector quasi-variational inequalities is obtained. By virtue of Gerstewitz’s nonconvex separation functional ξ, a (weak) ξ-equilibrium flow is introduced. Relations between a weak vector equilibrium flow and a (weak) ξ-equilibrium flow is investigated. Relations between weak vector equilibrium flows and two classes of variational inequalities are also studied.

Keywords

Vector traffic network equilibrium model (weak) Vectore quilibrium (weak) ξ-equilibrium Variational inequalities 

Copyright information

© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  1. 1.College of Mathematics and ScienceChongqing UniversityChongqingChina
  2. 2.Department of Mathematics and StatisticsCurtin University of TechnologyPerthAustralia
  3. 3.Department of Applied MathematicsThe Hong Kong Polytechnic UniversityKowloonHong Kong

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