Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints

Authors
Ye, JJ
Citation
Jj. Ye, Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints, SIAM J OPTI, 10(4), 2000, pp. 943-962
Citations number
26
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON OPTIMIZATION
ISSN journal
10526234 → ACNP
Volume
10
Issue
4
Year of publication
2000
Pages
943 - 962
Database
ISI
SICI code
1052-6234(20000618)10:4<943:CQANOC>2.0.ZU;2-B
Abstract
A very general optimization problem with a variational inequality constrain t, inequality constraints, and an abstract constraint are studied. Fritz Jo hn type and Kuhn Tucker type necessary optimality conditions involving Mord ukhovich coderivatives are derived. Several constraint qualifications for t he Kuhn Tucker type necessary optimality conditions involving Mordukhovich coderivatives are introduced and their relationships are studied. Applicati ons to bilevel programming problems are also given.