The Dual Gap Function for Variational Inequalities

The Dual Gap Function for Variational Inequalities In this paper we further study the dual gap function G , which was introduced by Marcotte and Zhu, for the variational inequality problem (VIP). We characterize the directional derivative and subdifferential of G . Based on these, we get a better understanding of the concepts of a global error bound, weak sharpness, and minimum principle sufficiency property for the pseudo-monotone. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

The Dual Gap Function for Variational Inequalities

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Publisher
Springer-Verlag
Copyright
Copyright © 2003 by Springer-Verlag
Subject
Philosophy
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-003-0771-9
Publisher site
See Article on Publisher Site

Abstract

In this paper we further study the dual gap function G , which was introduced by Marcotte and Zhu, for the variational inequality problem (VIP). We characterize the directional derivative and subdifferential of G . Based on these, we get a better understanding of the concepts of a global error bound, weak sharpness, and minimum principle sufficiency property for the pseudo-monotone.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Aug 1, 2003

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