约束集值优化问题的二阶最优性条件OA北大核心CSCDCSTPCD
Second-Order Optimality Conditions for Constrained Set-Valued Optimization Problems
给出集值映射二阶导数的定义,并讨论了其相关性质.运用此二阶导数及二阶相依导数,建立了约束集值优化问题的二阶必要最优性条件.在有限维空间中得到了约束集值优化问题的二阶充分最优性条件.
A second-order derivative for set-valued maps was proposed and its properties were discussed. By means of this derivative and second-order contingent derivative, some second-order necessary optimality conditions were established for constrained set-valued optimization problems. And some second-order sufficient optimality conditions were obtained for constrained set-valued optimization problems in finite-dimensional normed spaces.
寇喜鹏;彭兴媛;朱胜坤
重庆大学数学与统计学院,重庆401331重庆大学数学与统计学院,重庆401331重庆大学数学与统计学院,重庆401331
数理科学
二阶相依集渐近二阶相依导数集值优化最优性条件
second-order contingent set asymptotic second-order contingent derivative set-valued optimization optimality condition
《吉林大学学报（理学版）》 2012 (2)
244-250,7
中央高校基本科研业务费项目(批准号:CDJXS11100033).
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