向量集值优化超有效解的对偶问题

摘要/Abstract

摘要：

借助于Contingent切锥和集值映射的上图而引入的有关集值映射的Contingent切导数，对约束集值优化问题的超有效解建立了最优性KuhnTucker必要及充分性条件,借此建立了向量集值优化超有效解的Wolfe型和MondWeir型对偶定理.

关键词: Contingent切锥, 集值映射, 对偶

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 the orems for Wolfe type and MondWeir type duality are established.

Key words: Contingent tangent cone, Setvalued map, Super efficiency, Duality.

盛宝怀, 周颂平, 刘三阳. 向量集值优化超有效解的对偶问题[J]. 数学物理学报, 2004, 24(4): 426-434.

CHENG Bao-Fu, ZHOU Rong-Beng, LIU San-Yang. Duality in Vector Optimization of Setvalued Maps with Super Efficient Solutions[J]. Acta mathematica scientia,Series A, 2004, 24(4): 426-434.

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