Retarded weighted quasi-variational inequalities for traffic equilibrium problems

2012 ◽  
Vol 13 (3) ◽  
pp. 519-543 ◽  
Author(s):  
Annamaria Barbagallo
Keyword(s):  
Variational Inequalities ◽  
Equilibrium Problems ◽  
Traffic Equilibrium ◽  
Traffic Equilibrium Problems

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

2006 ◽  
Vol 6 (2) ◽  
pp. 117-133 ◽  
Author(s):  
A. Barbagallo
Keyword(s):  
Variational Inequalities ◽  
Equilibrium Problems ◽  
Time Dependent ◽  
Traffic Network ◽  
Traffic Equilibrium ◽  
Monotone Variational Inequalities ◽  
Continuity Result ◽  
Traffic Equilibrium Problems ◽  
Network Equilibrium Problem ◽  
Discretization Procedure

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.

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