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

DOI10.1142/S0218202507001917zbMath1138.49009MaRDI QIDQ5293961

Annamaria Barbagallo

Publication date: 5 July 2007

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

traffic equilibrium problemscontinuity of solutionsMosco's convergencetime-dependent variational and quasi-variational inequalitiesdynamic traffic equilibrium problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Traffic problems in operations research (90B20)

Related Items (30)

Functional inequalities, regularity and computation of the deficit and surplus variables in the financial equilibrium problem ⋮ A general quasi-variational problem of Cournot-Nash type and its inverse formulation ⋮ Dynamic equilibrium formulation of the oligopolistic market problem ⋮ Stochastic weighted variational inequalities in non-pivot Hilbert spaces with applications to a transportation model ⋮ Evolutionary variational inequality with long-term memory and applications to economic networks ⋮ Retarded weighted quasi-variational inequalities for traffic equilibrium problems ⋮ Pseudomonotone variational inequality in action: case of the French dairy industrial network dynamics ⋮ Evolutionary variational formulation for oligopolistic market equilibrium problems with production excesses ⋮ A sustainable dynamic closed-loop supply chain network equilibrium for collectibles markets ⋮ Quasivariational inequalities for dynamic competitive economic equilibrium problems in discrete time ⋮ Weighted traffic equilibrium problem in non pivot Hilbert spaces ⋮ On the regularity of retarded equilibria in time-dependent traffic equilibrium problems ⋮ Nonpivot and implicit projected dynamical systems on Hilbert spaces ⋮ Time-dependent variational inequality for an oligopolistic market equilibrium problem with production and demand excesses ⋮ Walrasian equilibrium problem with memory term ⋮ Duality theory for the dynamic oligopolistic market equilibrium problem ⋮ Quasivariational inequalities for a dynamic competitive economic equilibrium problem ⋮ Regularity results for evolutionary nonlinear variational and quasi-variational inequalities with applications to dynamic equilibrium problems ⋮ Weighted variational inequalities in non-pivot Hilbert spaces with applications ⋮ Minimizing total weighted flow time of a set of jobs with interval processing times ⋮ Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term ⋮ A Panoramic View on Projected Dynamical Systems ⋮ Existence and regularity of solutions to nonlinear degenerate evolutionary variational inequalities with applications to dynamic network equilibrium problems ⋮ Continuity of solutions for parametric variational inequalities in Banach space ⋮ On the study of the economic equilibrium problem through preference relations ⋮ Continuity Results for a Class of Variational Inequalities with Applications to Time-Dependent Network Problems ⋮ A quasi-variational approach for the dynamic oligopolistic market equilibrium problem ⋮ Weighted quasi-variational inequalities in non-pivot Hilbert spaces and applications ⋮ Unnamed Item ⋮ Evolutionary Quasi-Variational Inequalities and the Dynamic Multiclass Network Equilibrium Problem

Cites Work

• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• On the convergence of projection methods: Application to the decomposition of affine variational inequalities
• Time-dependent traffic equilibria
• Convergence of convex sets and of solutions of variational inequalities
• Methodes itératives pour les équations et inéquations aux dérivées partielles non linéaires de type monotone. (Iteration methods for nonlinear equations and inequations with partial derivatives of monotone type)
• Time-dependent variational inequalities and applications to equilibrium problems
• Variational inequalities and time-dependent traffic equilibria
• QUASI-VARIATIONAL INEQUALITIES IN TRANSPORTATION NETWORKS
• A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem
• Unnamed Item

This page was built for publication: REGULARITY RESULTS FOR TIME-DEPENDENT VARIATIONAL AND QUASI-VARIATIONAL INEQUALITIES AND APPLICATION TO THE CALCULATION OF DYNAMIC TRAFFIC NETWORK