Benson proper efficiency for vector optimization of generalized subconvexlike set-valued maps in ordered linear spaces  

作　　者：周志昂 

机构地区：[1]Department of Mathematics,College of Sciences,Shanghai University [2]College of Mathematics and Statistics,Chongqing University of Technology

出　　处：《Journal of Shanghai University(English Edition)》2010年第5期374-379,共6页上海大学学报（英文版）

摘　　要：Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. Under the assumption of generalized subconvexlikeness, scalarization, multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency.Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. Under the assumption of generalized subconvexlikeness, scalarization, multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency.

关 键 词：set-valued maps vector closure generalized subconvexlikeness Benson proper efficient solution 

分 类 号：O224[理学—运筹学与控制论]