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Convex Inequalities Without Constraint Qualification nor Closedness Condition, and Their Applications in Optimization

✍ Scribed by N. Dinh; M. A. Goberna; M. A. López; M. Volle


Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
502 KB
Volume
18
Category
Article
ISSN
1877-0533

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Constraint qualifications for optimality
✍ D.H. Fang; C. Li; K.F. Ng 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 437 KB

For an inequality system defined by an infinite family of proper convex functions (not necessarily lower semicontinuous), we introduce some new notions of constraint qualifications. Under the new constraint qualifications, we provide necessary and/or sufficient conditions for the KKT rules to hold.