The Dual Gap Function for Variational Inequalities

Journal Article · Fri Aug 15 00:00:00 EDT 2003 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-003-0771-9· OSTI ID:21067468

Changyu, Wan ^[1]

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1. Institute of Operations Research, Qufu Normal University, Qufu 273165 (China)

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.

• OSTI ID: 21067468
• Journal Information: Applied Mathematics and Optimization, Vol. 48, Issue 2; Other Information: DOI: 10.1007/s00245-003-0771-9; Copyright (c) 2003 Springer-Verlag; www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ERRORS
FUNCTIONS
VARIATIONAL METHODS