, Volume 37, Issue 4, pp 647-660
Date: 27 Sep 2006

Vector equilibrium problems with elastic demands and capacity constraints

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.