Stable and Total Fenchel Duality for DC Optimization Problems in Locally Convex Spaces
β Scribed by Fang, D. H.; Li, C.; Yang, X. Q.
- Book ID
- 118203676
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 311 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1052-6234
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π SIMILAR VOLUMES
We give new regularity conditions for convex optimization problems in separated locally convex spaces. We completely characterize the stable strong and strong Fenchel-Lagrange duality. Then we give similar statements for the case when a solution of the primal problem is assumed as known, obtaining c
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.