Perturbed solutions of variational inequality problems over polyhedral sets

  • J. Kyparisis
Contributed Papers

Abstract

This paper is concerned with variational inequality problems defined over polyhedral sets, which provide a generalization of many diverse problems of mathematical programming, complementarity, and mathematical economics. Differentiability properties of locally unique perturbed solutions to such problems are studied. It is shown that, if a simple sufficient condition is satisfied, then the perturbed solution is locally unique, continuous, and directionally differentiable. Furthermore, under an additional regularity assumption, the perturbed solution is also continuously differentiable.

Key Words

Variational inequalities generalized equations complementarity perturbed solutions 

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Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • J. Kyparisis
    • 1
  1. 1.Department of Decision Sciences, College of Business AdministrationFlorida International UniversityMiami

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