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.
โฆ LIBER โฆ
Generalizations of Slater's constraint qualification for infinite convex programs
โ Scribed by V. Jeyakumar; Henry Wolkowicz
- Publisher
- Springer-Verlag
- Year
- 1992
- Tongue
- English
- Weight
- 894 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0025-5610
No coin nor oath required. For personal study only.
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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 lowerโsemicontinuous function and the precomposition of another convex lowerโsemicontinuous function which is also __K__ โincrea