Generalized Differential Properties of the Auslender Gap Function for Variational Inequalities

S. J. Li, S. H. Hou and G. Y. Chen
Additional contact information
S. J. Li: Chongqing University
S. H. Hou: Hong Kong Polytechnic University
G. Y. Chen: Chinese Academy of Science

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 3, No 11, 739-749

Abstract: Abstract In this note, the Auslender gap function, which is used to formulate a variational inequality into an equivalent minimization problem, is shown to be differentiable in the generalized sense and has a lower contingent derivative under suitable conditions. This enables us to establish necessary and sufficient conditions for the existence of a solution to problems of variational inequalities.

Keywords: Variational inequalities; gap functions; lower contingent derivatives (search for similar items in EconPapers)
Date: 2005
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-004-1183-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:124:y:2005:i:3:d:10.1007_s10957-004-1183-y

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-004-1183-y

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().