On the existence of solutions to vector quasivariational inequalities and quasicomplementarity problems with applications to traffic network equilibria.
https://doi.org/10.1007/s10957-004-5722-3Publisher, magazine: ,
Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: vector quasivariational inequalities; topological vector spaces; KKM mappings; upper semicontinuity; generalized lower hemicontinuity; pseudomonotonicity; quasicomplementarity problems; traffic networks; weak and strong equilibrium flows
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