Optimality conditions for convex semi-infinite programming problems
β Scribed by A. Ben-Tal; L. Kerzner; S. Zlobec
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 923 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0894-069X
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β¦ Synopsis
Abstract
This paper gives characterization of optimal Solutions for convex semiinfinite programming problems. These characterizations are free of a constraint qualification assumption. Thus they overcome the deficiencies of the semiinfinite versions of the Fritz John and the KuhnβTucker theories, which give only necessary or sufficient conditions for optimality, but not both.
π SIMILAR VOLUMES
Let f be a lower semi-continuous and bounded below function from a Banach Ε½ x space X into yΟ±, qΟ± where X is assumed to admit a Lipschitz smooth ''bump-function.'' Generalizing results of Chaney, we study optimality conditions for x g X to be a local minimum point of f. These conditions are describe