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Lipschitz Continuity Results for a Class of Variational Inequalities and Applications: A Geometric Approach

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Abstract

We consider a class of parametric variational inequalities which, under suitable assumptions, admit an equivalent integral formulation. We study the Lipschitz continuity of the solution and treat in detail the case in which the parametric constraint set is a polytope. Finally, the results obtained are applied to the time-dependent traffic equilibrium problem.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6–I, 95125, Catania, Italy

    A. Causa & F. Raciti

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  1. A. Causa
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  2. F. Raciti
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Correspondence to F. Raciti.

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Communicated by F. Giannessi.

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Causa, A., Raciti, F. Lipschitz Continuity Results for a Class of Variational Inequalities and Applications: A Geometric Approach. J Optim Theory Appl 145, 235–248 (2010). https://doi.org/10.1007/s10957-009-9622-4

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  • DOI: https://doi.org/10.1007/s10957-009-9622-4

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