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Journal of Optimization Theory and Applications
, Volume 123, Issue 3, pp 533548
First online:
On the Existence of Solutions to Vector Quasivariational Inequalities and Quasicomplementarity Problems with Applications Break to Traffic Network Equilibria
 P. Q. KhanhAffiliated withDepartment of Mathematics and Computing Science, Vietnam National University
 , L. M. LuuAffiliated withDepartment of Mathematics, University of Dalat
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For vector quasivariational inequalities involving multifunctions in topological vector spaces, an existence result is obtained without a monotonicity assumption and with a convergence assumption weaker than semicontinuity. A new type of quasivariational inequality is proposed. Applications to quasicomplementarity problems and traffic network equilibria are considered. In particular, definitions of weak and strong Wardrop equilibria are introduced for the case of multivalued cost functions.
Vector quasivariational inequalities
topological vector spaces
solution existence
KKM mappings
upper semicontinuity
generalized lower hemicontinuity
pseudomonotonicity
quasicomplementarity problems
traffic networks
multivalued costs
weak and strong equilibrium flows
 Title
 On the Existence of Solutions to Vector Quasivariational Inequalities and Quasicomplementarity Problems with Applications Break to Traffic Network Equilibria
 Journal

Journal of Optimization Theory and Applications
Volume 123, Issue 3 , pp 533548
 Cover Date
 200412
 DOI
 10.1007/s1095700457223
 Print ISSN
 00223239
 Online ISSN
 15732878
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Keywords

 Vector quasivariational inequalities
 topological vector spaces
 solution existence
 KKM mappings
 upper semicontinuity
 generalized lower hemicontinuity
 pseudomonotonicity
 quasicomplementarity problems
 traffic networks
 multivalued costs
 weak and strong equilibrium flows
 Industry Sectors
 Authors

 P. Q. Khanh ^{(1)}
 L. M. Luu ^{(2)}
 Author Affiliations

 1. Department of Mathematics and Computing Science, Vietnam National University, Vietnam
 2. Department of Mathematics, University of Dalat, Vietnam