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Higher-order Mond–Weir duality for set-valued optimization

✍ Scribed by S.J. Li; K.L. Teo; X.Q. Yang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
177 KB
Volume
217
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, we introduce a higher-order Mond-Weir dual for a set-valued optimization problem by virtue of higher-order contingent derivatives and discuss their weak duality, strong duality and converse duality properties.

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Duality for Vector Optimization of Set-V
Duality for Vector Optimization of Set-Valued Functions
✍ Wen Song 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 164 KB

In this note, a general cone separation theorem between two subsets of image space is presented. With the aid of this, optimality conditions and duality for vector optimization of set-valued functions in locally convex spaces are discussed.