Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
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DOI：
10.1155/2013/678154
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发表时间：
2013-02
影响因子：
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通讯作者：
Heng Qinghai;Zhang Binbin
中科院分区：
文献类型：
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作者：
Heng Qinghai;Zhang Binbin
利用函数从到的阶次微分，得到了一个新的泰勒公式。作为它在最优化问题中的应用，我们建立了这类函数的序充分最优性条件和强拟凸函数的序必要条件。
We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions for strongly -quasiconvex functions.