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
✦ LIBER ✦
A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces
✍ Scribed by Radu Ioan Boţ; Gert Wanka
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 208 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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## Abstract In this paper we work in separated locally convex spaces where we give equivalent statements for the formulae of the conjugate function of the sum of a convex lower‐semicontinuous function and the precomposition of another convex lower‐semicontinuous function which is also __K__ ‐increa