| 凸复合多目标优化问题的二阶最优性条件 |
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| 引用本文： | 杜廷松,费浦生等. 凸复合多目标优化问题的二阶最优性条件[J]. 河北师范大学学报(自然科学版), 2001, 25(3): 306-308 |
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| 作者姓名： | 杜廷松 费浦生等 |
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| 作者单位： | [1]武汉大学数学与计算机机科学学院,湖北武汉430072 [2]三峡大学理学院,湖北宜昌443000 |
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| 基金项目： | 国家自然科学基金资助项目（202001036）,湖北省教委基金资助项目（99C027）,三峡大学科研基金资助项目（KJC01 |
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| 摘 要： | 研究了闭凸约束下凸复合多目标优化的最优性条件,利用标量凸复合优化问题的最近结果,获得了二阶必要条件,并且通过把标量化问题转化为带有非有限值凸函数的凸复合优化问题,导出了二阶充分条件。
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| 关 键 词： | 最优性条件 广义二阶方向导数 凸复合多目标优化 闭凸约束 标量化 三次严格可微 |
Second-order Optimality Conditions for Convex Composite Multiobjective Optimization Problem |
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| DU Ting-song,FEI Pu-sheng,WANG Jun-ling. Second-order Optimality Conditions for Convex Composite Multiobjective Optimization Problem[J]. Journal of Hebei Normal University, 2001, 25(3): 306-308 |
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| Authors: | DU Ting-song FEI Pu-sheng WANG Jun-ling |
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| Abstract: | A convex composite multiobjective optimization problem,which subject to a closed con-vex constraint,is studied.A second-order necessary condition is obtained by using a recent result for scalar convex composite optimization.Moreover,a second order sufficient condition was derived by transforming the scalarization problem into a convex composite optimization problem with a nonfinite-valued convex function. |
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| Keywords: | multiobjective optimization optimality condition generalized second-order deriva- tives |
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