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集值映射的弱余切广义梯度的性质及应用
引用本文:万莉娟,高艳林.集值映射的弱余切广义梯度的性质及应用[J].高师理科学刊,2012(1):25-27.
作者姓名:万莉娟  高艳林
作者单位:[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006 [2]齐齐哈尔市第十五中学,黑龙江齐齐哈尔161005
摘    要:给出了集值映射的弱余切广义梯度的2个性质,并且借助弱余切广义梯度得到了一类集值优化问题取得局部弱极小解的一个必要条件.

关 键 词:余切上图导数  弱余切广义梯度  最优性条件

The properties of weak contingent generalized gradient of set-valued mapping and its application
WAN Li-juan,GAO Yan-lin.The properties of weak contingent generalized gradient of set-valued mapping and its application[J].Journal of Science of Teachers'College and University,2012(1):25-27.
Authors:WAN Li-juan  GAO Yan-lin
Institution:1.School of Science,Qiqihar University,Qiqihar 161006,China;2.No.15 Middle School of Qiqihar,Qiqihar 161005,China)
Abstract:Gave two properties of weak contingent generalized gradient of set-valued mappings,and obtained a necessary condition under which a class of set-valued optimization problem have a local weak minimal solution by using of weak contingent generalized gradient.
Keywords:contingent epiderivative  weak contingent generalized gradient  optimality condition
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