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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2006

Degenerate Time-dependent Variational Inequalities with Applications to Traffic Equilibrium Problems

A. Barbagallo EMAIL logo

Abstract

The aim of this paper is to study the continuity of the solutions to degenerate time-dependent variational inequalities. In order to obtain the continuity of the solution, a previous continuity result for strongly monotone variational inequalities and an appropriate use of the convergence set in Mosco’s sense play an important role. The continuity result allows 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.

Received: 2006-01-23
Revised: 2006-05-11
Accepted: 2006-06-05
Published Online: 2006
Published in Print: 2006

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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