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OALib Journal期刊
ISSN: 2333-9721
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Duality in Vector Optimization of Set-valued Maps with Super Efficient Solutions
向量集值优化超有效解的对偶问题

Keywords: Contingent tangent cone,Set-valued map,Super efficiency,Duality
Contingent切锥
,集值映射,对偶

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Abstract:

A generalized Kuhn-Tucker optimality condition of constrained vector optimization of set-valued maps with super efficiency is obtained with the help of the Contingent tangent derivatives which are developed with the aid of Contingent tangent cone and the epigraphy of the set-valued map, with which the weak duality theorems, direct duality theorems and the converse theorems for Wolfe type and Mond-Weir type duality are established.

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