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Infinite Alternative Theorems and Nonsmooth Constraint Qualification Conditions

✍ Scribed by Mohammad B. Asadi, Majid Soleimani-damaneh

Book ID
118810791
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
333 KB
Volume
20
Category
Article
ISSN
1877-0533

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Constraint qualifications for optimality
Constraint qualifications for optimality conditions and total Lagrange dualities in convex infinite programming
✍ D.H. Fang; C. Li; K.F. Ng πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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.