Liberating the Subgradient Optimality Conditions from Constraint Qualifications
โ Scribed by V. Jeyakumar; Z. Y. Wu; G. M. Lee; N. Dinh
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 122 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0925-5001
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๐ SIMILAR VOLUMES
In this paper we discuss the connections of four generalized constraint qualifications for set-valued vector optimization problems with constraints. Then some K-T type necessary and sufficient optimality conditions are derived, in terms of the contingent epiderivatives.
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.