Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type and Kuhn--Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived. Several constraint qualifications for...
Uložené v:
| Vydané v: | SIAM journal on optimization Ročník 10; číslo 4; s. 943 - 962 |
|---|---|
| Hlavný autor: | |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Philadelphia
Society for Industrial and Applied Mathematics
2000
|
| Predmet: | |
| ISSN: | 1052-6234, 1095-7189 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Shrnutí: | A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type and Kuhn--Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived. Several constraint qualifications for the Kuhn--Tucker type necessary optimality conditions involving Mordukhovich coderivatives are introduced and their relationships are studied. Applications to bilevel programming problems are also given. |
|---|---|
| Bibliografia: | ObjectType-Article-1 SourceType-Scholarly Journals-1 content type line 14 |
| ISSN: | 1052-6234 1095-7189 |
| DOI: | 10.1137/S105262349834847X |