Vector equilibrium problems with elastic demands and capacity constraints

被引：0
作者：
S. J. Li
K. L. Teo
X. Q. Yang
机构：
[1] Chongqing University,College of Mathematics and Science
[2] Curtin University of Technology,Department of Mathematics and Statistics
[3] The Hong Kong Polytechnic University,Department of Applied Mathematics
来源：
Journal of Global Optimization | 2007年 / 37卷
关键词：
Vector traffic network equilibrium model; (weak) Vectore quilibrium; (weak) ξ-equilibrium; Variational inequalities;
D O I：
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学科分类号：
摘要：
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.
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页码：647 / 660
页数：13
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