一种新的二阶次梯度及其在刻画集值优化弱有效元中的应用
发布时间：2018-08-23 13:40
【摘要】：引进了一种新的修正的二阶切锥,借助此切锥针对集值映射引进了一种新的二阶切导数,讨论了它的若干性质.利用此修正的二阶切导数,引进了一种新的在弱有效元意义下的二阶次梯度,并建立了它的一个存在性定理.借助此二阶次梯度给出了集值优化弱有效元的一种新刻画.
[Abstract]:A new modified second-order tangent cone is introduced, and a new second-order tangent derivative for set-valued mapping is introduced with the help of the tangent cone. Some properties of the tangent cone are discussed. By using the modified second order tangent derivative, a new second order subgradient in the sense of weak efficient element is introduced, and its existence theorem is established. A new characterization of set-valued optimization weak efficient elements is given with the help of the second-order subgradient.
【作者单位】： 南昌大学数学系;
【基金】：国家自然科学基金项目(11461044) 江西省自然科学基金，
本文编号：2199238
[Abstract]:A new modified second-order tangent cone is introduced, and a new second-order tangent derivative for set-valued mapping is introduced with the help of the tangent cone. Some properties of the tangent cone are discussed. By using the modified second order tangent derivative, a new second order subgradient in the sense of weak efficient element is introduced, and its existence theorem is established. A new characterization of set-valued optimization weak efficient elements is given with the help of the second-order subgradient.
【作者单位】： 南昌大学数学系;
【基金】：国家自然科学基金项目(11461044) 江西省自然科学基金，
本文编号：2199238
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