Evolutionary Quasi-Variational Inequalities and the Dynamic Multiclass Network Equilibrium Problem

2014 ◽  
Vol 35 (7-9) ◽  
pp. 1225-1244 ◽  
Author(s):  
Laura Scrimali
Keyword(s):  
Variational Inequalities ◽  
Equilibrium Problem ◽  
Network Equilibrium ◽  
Network Equilibrium Problem

scholarly journals REGULARITY RESULTS FOR TIME-DEPENDENT VARIATIONAL AND QUASI-VARIATIONAL INEQUALITIES AND APPLICATION TO THE CALCULATION OF DYNAMIC TRAFFIC NETWORK

2007 ◽  
Vol 17 (02) ◽  
pp. 277-304 ◽  
Author(s):  
ANNAMARIA BARBAGALLO
Keyword(s):  
Variational Inequalities ◽  
Time Dependent ◽  
Network Equilibrium ◽  
Traffic Network ◽  
Set Convergence ◽  
Appropriate Use ◽  
Continuity Of Solutions ◽  
Regularity Results ◽  
Network Equilibrium Problem ◽  
Discretization Procedure

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 time can be ensured. Making an appropriate use of the set convergence in Mosco's sense, we are able to prove continuity results for strongly monotone variational and quasi-variational inequalities. The continuity results allow us to provide a discretization procedure for the calculation of solutions to the variational inequalities and, as a consequence, we can solve the time-dependent traffic network equilibrium problem.

scholarly journals Well-Posedness of MultiCriteria Network Equilibrium Problem

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
W. Y. Zhang
Keyword(s):  
Equilibrium Problem ◽  
Network Equilibrium ◽  
Well Posedness ◽  
Equilibrium Flow ◽  
Equivalent Relation ◽  
Equilibrium Pattern ◽  
Network Equilibrium Problem

New notions ofϵ-equilibrium flow andξk0-ϵ-equilibrium flow of multicriteria network equilibrium problem are introduced; an equivalent relation between vectorϵ-equilibrium pattern flow andξk0-ϵ-equilibrium flow is established. Then, the well-posedness of multicriteria network equilibrium problem is discussed.

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