Continuity Results for a Class of Variational Inequalities with Applications to Time-Dependent Network Problems

DOI10.1080/01630560903381696zbMath1189.47061OpenAlexW2143820904MaRDI QIDQ3402147

Akhtar A. Khan, Fabio Raciti, Andrea O. Caruso

Publication date: 2 February 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903381696

zbMATH Keywords

monotonicityvariational inequalitiesnetwork equilibrium problemsMosco and Kuratowski convergence

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Traffic problems in operations research (90B20)

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Cites Work

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• Improved noniterative algorithm for solving the traffic equilibrium problem
• Hölder continuity of solutions to a parametric variational inequality
• On the convergence of descent methods for monotone variational inequalities
• Time-dependent traffic equilibria
• A globally convergent Newton method for solving strongly monotone variational inequalities
• Convergence of convex sets and of solutions of variational inequalities
• On Mosco convergence of convex sets
• On the Convergence of Sequences of Convex Sets in Finite Dimensions
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Addendum: On the Convergence of Convex Sets in Finite Dimensions
• REGULARITY RESULTS FOR TIME-DEPENDENT VARIATIONAL AND QUASI-VARIATIONAL INEQUALITIES AND APPLICATION TO THE CALCULATION OF DYNAMIC TRAFFIC NETWORK