文献类型：期刊文献

中文题名：向量集值优化超有效解的对偶问题

英文题名：Duality in Vector Optimization of Set-valued Maps with Super Efficient Solutions

作者：盛宝怀[1];周颂平[2];刘三阳[3]

机构：[1]绍兴文理学院数学系;[2]浙江工程学院数学研究所;[3]西安电子科技大学应用数学系

年份：2004

卷号：24

期号：4

起止页码：426

中文期刊名：数学物理学报：A辑

收录：CSTPCD、、北大核心2000、CSCD2011_2012、北大核心、CSCD

基金：浙江省自然科学基金(102002)国家自然科学基金(10371024)资助

语种：中文

中文关键词：Contingent切锥;集值映射;对偶

外文关键词：Contingent tangent cone; Set-valued map; Super efficiency; Duality.

中文摘要：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.

外文摘要：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.