SEPARABLE CONDITIONS AND SCALARIZATION OF BENSON PROPER EFFICIENCY  

作　　者：丘京辉 郝媛 王璀 

机构地区：[1]Department of Mathematics, Suzhou University

出　　处：《Acta Mathematica Scientia》2010年第4期1154-1166,共13页数学物理学报（B辑英文版）

基　　金：Supported by the National Natural Science Foundation of China (10571035,10871141)

摘　　要：Under the assumption that the ordering cone has a nonempty interior and is separable （or the feasible set has a nonempty interior and is separable）, we give scalarization theorems on Benson proper effciency. Applying the results to vector optimization problems with nearly cone-subconvexlike set-valued maps, we obtain scalarization theorems and Lagrange multiplier theorems for Benson proper effcient solutions.Under the assumption that the ordering cone has a nonempty interior and is separable （or the feasible set has a nonempty interior and is separable）, we give scalarization theorems on Benson proper effciency. Applying the results to vector optimization problems with nearly cone-subconvexlike set-valued maps, we obtain scalarization theorems and Lagrange multiplier theorems for Benson proper effcient solutions.

关 键 词：Locally convex space nearly cone-subconvexlike set-valued map Benson proper effciency SCALARIZATION 

分 类 号：O224[理学—运筹学与控制论] O157.5[理学—数学]