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Solution differentiability for variational inequalities
Authors:Jerzy Kyparisis
Institution:(1) Department of Decision Sciences and Information Systems, College of Business Administration, Florida International University, 33199 Miami, FL, USA
Abstract:In this paper we study solution differentiability properties for variational inequalities. We characterize Fréchet differentiability of perturbed solutions to parametric variational inequality problems defined on polyhedral sets. Our result extends the recent result of Pang and it directly specializes to nonlinear complementarity problems, variational inequality problems defined on perturbed sets and to nonlinear programming problems.
Keywords:Variational inequalities  nonlinear complementarity problems  nonlinear programming  sensitivity analysis  solution differentiability
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