Title | ||
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Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint |
Abstract | ||
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It is proved that the metric projection from a point onto a moving polyhedron is Lipschitz continuous with respect to the perturbations on the right-hand sides of the linear inequalities defining the polyhedron. The property leads to a simple sufficient condition for Lipschitz continuity of a locally unique solution of parametric variational inequalities with a moving polyhedral constraint set. Applications of these results to traffic network equilibrium problems are given in detail. |
Year | DOI | Venue |
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1995 | 10.1287/moor.20.3.695 | Math. Oper. Res. |
Keywords | DocType | Volume |
parametric polyhedral constraint,lipschitz continuity,variational inequality | Journal | 20 |
Issue | ISSN | Citations |
3 | 0364-765X | 24 |
PageRank | References | Authors |
4.91 | 6 | 1 |