Higher-order Optimality Conditions for Henig Effcient Solution in Set-valued Optimization under Cone-convexlike Maps  

作　　者：ZHANG Jian WANG Qi-lin 

机构地区：[1]Section for Test Design, Chongqing Education Examinations Authority, Chongqing 401147, China [2]College of Sciences, Chongqing Jiaotong University, Chongqing 400074, China

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第3期415-419,共5页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China（10871216）; Supported by the Science and Technology Research Project of Chongqing Municipal Education Commission（KJ100419）; Supported by the Natural Science Foundation Project of CQ CSTC（cstcjjA00019）

摘　　要：This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems.By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for Henig effcient solutions of set-valued optimization problems whose constraint condition is determined by a fixed set.This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems.By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for Henig effcient solutions of set-valued optimization problems whose constraint condition is determined by a fixed set.

关 键 词：higher-order contingent(adjacent)set Henig effcient solutions higher-order optimality conditions set-valued optimization 

分 类 号：O224[理学—运筹学与控制论]