Regularity Results for Time-dependent Variational and Quasi-variational Inequalities with Applications to Dynamic Traffic Networks
نویسندگان
چکیده
The aim of this paper is to consider time-dependent variational and quasi-variational inequalities and to study under which assumptions the continuity of solutions with respect to the time can be ensured. Making on appropriate use of the set convergence in Mosco’s sense, we get the desiderate continuity results for strongly monotone variational and quasi-variational inequalities. The continuity results allow us to provide a discretization procedure for the calculation of the solution to the variational inequality which expresses the time-dependent traffic network equilibrium problem.
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تاریخ انتشار 2008