集值映射图的广义相依导数与真有效解的最优性条件  

Generalized Contingent Derivative of Graph for a Set-Valued Map and Optimatity Coditions of Proper Efficient Solutions

作　　者：姚永芳[1] 施斗山[2] 

机构地区：[1]嘉兴学院,浙江嘉兴314001 [2]浙江财经学院,杭州310012

出　　处：《运筹学学报》2004年第4期85-91,共7页Operations Research Transactions

基　　金：浙江省教育厅课题资助;项目编号:20041119

摘　　要：本文提出了集值映射图的SP-相依导数的概念,利用这个概念,给出了集值 向量优化问题两种真有效解的最优性条件.In this paper, we introduce concepts of SP-contingent derivative of graph of set-valued map and obtain the optimatity conditions of two kinds of proper efficient solutions for the set-valued vector optimization problems by using the new concept of contingent derivative of set -valued map.

关 键 词：真有效解 最优性条件 集值映射 导数 向量优化问题 广义 SP 概念 

分 类 号：O221[理学—运筹学与控制论] O177[理学—数学]