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Variational Analysis and Applications
Volume 79 of the series Nonconvex Optimization and Its Applications pp 605631
Properties of Gap Function for Vector Variational Inequality
 S. J. LiAffiliated withDepartment of Information and Computer Sciences, College of Sciences, Chongqing University
 , G. Y. ChenAffiliated withInstitute of Systems Science, Chinese Academy of Sciences
Abstract
The purpose of this paper is to investigate differential properties of a class of setvalued maps and gap functions involving vector variational inequalities. Relationship between their contingent derivatives are discussed. A formula computing contingent derivative of the gap functions is established. Optimality conditions of solutions for vector variational inequalities are obtained.
Key words
Contingent derivative gap function vector variational inequalities Title
 Properties of Gap Function for Vector Variational Inequality
 Book Title
 Variational Analysis and Applications
 Pages
 pp 605631
 Copyright
 2005
 DOI
 10.1007/0387242767_37
 Print ISBN
 9780387242095
 Online ISBN
 9780387242767
 Series Title
 Nonconvex Optimization and Its Applications
 Series Volume
 79
 Series ISSN
 1571568X
 Publisher
 Springer US
 Copyright Holder
 Springer Science+Business Media, Inc.
 Additional Links
 Topics
 Keywords

 Contingent derivative
 gap function
 vector variational inequalities
 Industry Sectors
 eBook Packages
 Editors

 Franco Giannessi ^{(2)}
 Antonino Maugeri ^{(3)}
 Editor Affiliations

 2. University of Pisa
 3. University of Catania
 Authors

 S. J. Li ^{(4)}
 G. Y. Chen ^{(5)}
 Author Affiliations

 4. Department of Information and Computer Sciences, College of Sciences, Chongqing University, Chongqing, China
 5. Institute of Systems Science, Chinese Academy of Sciences, Beijing, China
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