THE WEAK BENSON PROPER EFFICIENT SUBGRADIENT AND THE OPTIMALITY CONDITIONS OF SET-VALUED OPTIMIZATION  

作　　者：SHENG Baohuai (Institute of Mathematics, Ningbo University, Ningbo 315211 Department of Applied Mathematics, Xidian University, Xi’an 710071,China) 

出　　处：《Journal of Systems Science & Complexity》2002年第1期69-76,共8页系统科学与复杂性学报（英文版）

基　　金：This research is supportedby the National Natural Science Foundation of China(69972036), the Natural Science Foundation of Shaan

摘　　要：The subgradient, under the weak Benson proper efficiency, of a set-valued mapping in ordered Banach space is developed, and the weak Benson proper efficient Hahn-Banach theorem of a set-valued mapping is established, with which the existence of the subgradient is proved and the characterizations of weak Benson proper efficient elements of constrained(unconstrained) vector set-valued optimization problems are presented.

关 键 词：Weak Benson proper efficient elements Hahn-Banach theorem weak Benson properefficient subgradient. 

分 类 号：O224[理学—运筹学与控制论]