Duality for Set-Valued Multiobjective Optimization Problems. Part
β Scribed by A. Y. Azimov
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 297 KB
- Volume
- 137
- Category
- Article
- ISSN
- 0022-3239
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π SIMILAR VOLUMES
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.
In this paper, conjugate duality results for convexlike set-valued vector optimization problems are presented under closedness or boundedness hypotheses. Some properties of the value mapping of a set-valued vector optimization problem are studied. A conjugate duality result is also proved for a conv
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.