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

A. Causa () and F. Raciti ()
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A. Causa: Università di Catania
F. Raciti: Università di Catania

Journal of Optimization Theory and Applications, 2010, vol. 145, issue 2, No 2, 235-248

Abstract: 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.

Keywords: Variational inequalities; Monotonicity; Network equilibrium problems; Sensitivity analysis; Lipschitz continuity; Polytopes (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-009-9622-4

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