用广义梯度刻画集值优化Benson真有效解

THE CHARACTERIZATIONS OF BENSON PROPER SOLUTIONS OF SET-VALUED VECTOR OPTIMIZATION WITH GENERALIZED GRADIENT

在锥偏序Ｂａｎａｃｈ空间中引入了一类关于集值映射的广义梯度，借助锥分离定理证明了广义梯度的存在性，由此而给出集值向量优化Ｂｅｎｓｏｎ真有效解的特征．

A kind of generalized gradient of set-valued mapping in ordered Banach spaces is introduced, its existence is shown,with which the characterizations of the Benson proper solution of set-valued vector optimization are presented.