弱有效意义下向量集值优化的Kuhn-Tucker条件与对偶  

Kuhn-Tucker Condition and Duality of Set-valued Optimization

作　　者：盛宝怀[1] 李宏涛[2] 陈志祥[3] 

机构地区：[1]宁波大学数学研究所 [2]宝鸡文理学院数学系,陕西宝鸡721007 [3]绍兴文理学院数学系,浙江绍兴312000

出　　处：《宁波大学学报（理工版）》2003年第1期18-24,共7页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：浙江省自然科学基金(102066);宁波市青年博士基金(02J20102-06);宁波大学博士后基金

摘　　要：借助于由广义Contingent切锥并用上图而引入有关集值映射的Contingent切导数,对约束集值优化问题的弱有效解建立了Kuhn-Tucker必要及充分性条件,由此建立了向量集值优化弱有效解的Welfe型和Mond-Weir型对偶的弱定理、正定理及逆定理。A generalized Kuhn-Tucker optimality condition of constrained vector optimization of set-valued maps with weak efficiency is obtained with the aid of the Contingent tangent derivatives which are developed with the help of generalized Contingent tangent cone and the epigraphy of the set-valued map, with which the weak duality theorem, direct duality theorem and the converse duality theorem for Wolfe type and Mond-Weir type duality are considered.

关 键 词：向量集值优化 集值映射 广义Contingent切锥 弱有效解 KUHN-TUCKER条件 多目标规划 对偶 

分 类 号：O221.6[理学—运筹学与控制论]