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New Sequential Lagrange Multiplier Conditions Characterizing Optimality without Constraint Qualification for Convex Programs

✍ Scribed by Jeyakumar, V.; Lee, G. M.; Dinh, N.


Book ID
118204253
Publisher
Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
182 KB
Volume
14
Category
Article
ISSN
1052-6234

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Constraint qualifications for optimality
✍ 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.