On the Existence of Solutions to Vector Quasivariational Inequalities and Quasicomplementarity Problems with Applications Break to Traffic Network Equilibria

P. Q. Khanh and L. M. Luu
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P. Q. Khanh: Vietnam National University
L. M. Luu: University of Dalat

Journal of Optimization Theory and Applications, 2004, vol. 123, issue 3, No 5, 533-548

Abstract: Abstract 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.

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 (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s10957-004-5722-3

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