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Optimality conditions for set-valued optimization problems

✍ Scribed by Peter Brucker; Johann Hurink; Wieslaw Kubiak

Publisher
Springer
Year
1998
Tongue
English
Weight
126 KB
Volume
48
Category
Article
ISSN
0340-9422

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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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In this paper we study necessary and sufficient optimality conditions for a set-valued optimization problem. Convexity of the multifunction and the domain is not required. A definition of K -approximating multifunction is introduced. This multifunction is the differentiability notion applied to the