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Optimality conditions and constraint qualifications in Banach space

โœ Scribed by F. J. Gould; J. W. Tolle

Publisher
Springer
Year
1975
Tongue
English
Weight
1015 KB
Volume
15
Category
Article
ISSN
0022-3239

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๐Ÿ“œ SIMILAR VOLUMES

Generalized Constraint Qualifications an
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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.

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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.