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

Higher-order Optimality Conditions for Henig Effcient Solution in Set-valued Optimization under Cone-convexlike Maps
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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.
作者 ZHANG Jian WANG Qi-lin
机构地区 Section for Test Design College of Sciences
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 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）
关键词 higher-order contingent(adjacent)set Henig effcient solutions higher-order optimality conditions set-valued optimization 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]
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参考文献11

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Chinese Quarterly Journal of Mathematics
2011年 第3期

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